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Finding the Fourth Proportional to 13,700.40, 20,525.13 and 7,839.24

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Solution

The fourth proportional to 13,700.40, 20,525.13 and 7,839.24 is: 11,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.40 : 20,525.13 = 7,839.24 : x
  2. Step 2: Convert to fraction form
    13,700.40/20,525.13 = 7,839.24/x
  3. Step 3: Cross multiply
    13,700.40x = 20,525.13 × 7,839.24
  4. Step 4: Simplify right side
    13,700.40x = 160,901,420.10
  5. Step 5: Solve for x
    x = 160,901,420.10/13,700.40
  6. Step 6: Final answer
    x = 11,744.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.