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Finding the Fourth Proportional to 13,655.13, 20,490.65 and 5,757.17

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Solution

The fourth proportional to 13,655.13, 20,490.65 and 5,757.17 is: 8,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.13 : 20,490.65 = 5,757.17 : x
  2. Step 2: Convert to fraction form
    13,655.13/20,490.65 = 5,757.17/x
  3. Step 3: Cross multiply
    13,655.13x = 20,490.65 × 5,757.17
  4. Step 4: Simplify right side
    13,655.13x = 117,968,024.22
  5. Step 5: Solve for x
    x = 117,968,024.22/13,655.13
  6. Step 6: Final answer
    x = 8,639.10

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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.