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Finding the Fourth Proportional to 16,036.13, 24,038.19 and 7,713.78

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Solution

The fourth proportional to 16,036.13, 24,038.19 and 7,713.78 is: 11,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,036.13 : 24,038.19 = 7,713.78 : x
  2. Step 2: Convert to fraction form
    16,036.13/24,038.19 = 7,713.78/x
  3. Step 3: Cross multiply
    16,036.13x = 24,038.19 × 7,713.78
  4. Step 4: Simplify right side
    16,036.13x = 185,425,309.26
  5. Step 5: Solve for x
    x = 185,425,309.26/16,036.13
  6. Step 6: Final answer
    x = 11,562.97

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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.