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Finding the Fourth Proportional to 14,351.01, 19,804.38 and 7,977.40

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Solution

The fourth proportional to 14,351.01, 19,804.38 and 7,977.40 is: 11,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351.01 : 19,804.38 = 7,977.40 : x
  2. Step 2: Convert to fraction form
    14,351.01/19,804.38 = 7,977.40/x
  3. Step 3: Cross multiply
    14,351.01x = 19,804.38 × 7,977.40
  4. Step 4: Simplify right side
    14,351.01x = 157,987,461.01
  5. Step 5: Solve for x
    x = 157,987,461.01/14,351.01
  6. Step 6: Final answer
    x = 11,008.80

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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.