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Finding the Fourth Proportional to 13,057.47, 18,007.70 and 10,538.78

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Solution

The fourth proportional to 13,057.47, 18,007.70 and 10,538.78 is: 14,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.47 : 18,007.70 = 10,538.78 : x
  2. Step 2: Convert to fraction form
    13,057.47/18,007.70 = 10,538.78/x
  3. Step 3: Cross multiply
    13,057.47x = 18,007.70 × 10,538.78
  4. Step 4: Simplify right side
    13,057.47x = 189,779,045.87
  5. Step 5: Solve for x
    x = 189,779,045.87/13,057.47
  6. Step 6: Final answer
    x = 14,534.14

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