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Finding the Fourth Proportional to 14,033.01, 19,365.43 and 7,745.25

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Solution

The fourth proportional to 14,033.01, 19,365.43 and 7,745.25 is: 10,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.01 : 19,365.43 = 7,745.25 : x
  2. Step 2: Convert to fraction form
    14,033.01/19,365.43 = 7,745.25/x
  3. Step 3: Cross multiply
    14,033.01x = 19,365.43 × 7,745.25
  4. Step 4: Simplify right side
    14,033.01x = 149,990,096.71
  5. Step 5: Solve for x
    x = 149,990,096.71/14,033.01
  6. Step 6: Final answer
    x = 10,688.38

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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.