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Finding the Fourth Proportional to 13,978,563.21, 19,290,233.32 and 7,698,969.97

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Solution

The fourth proportional to 13,978,563.21, 19,290,233.32 and 7,698,969.97 is: 10,624,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978,563.21 : 19,290,233.32 = 7,698,969.97 : x
  2. Step 2: Convert to fraction form
    13,978,563.21/19,290,233.32 = 7,698,969.97/x
  3. Step 3: Cross multiply
    13,978,563.21x = 19,290,233.32 × 7,698,969.97
  4. Step 4: Simplify right side
    13,978,563.21x = 148,514,926,977,500.38
  5. Step 5: Solve for x
    x = 148,514,926,977,500.38/13,978,563.21
  6. Step 6: Final answer
    x = 10,624,477.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.