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Finding the Fourth Proportional to 17,439.92, 24,072.36 and 11,854.16

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Solution

The fourth proportional to 17,439.92, 24,072.36 and 11,854.16 is: 16,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,439.92 : 24,072.36 = 11,854.16 : x
  2. Step 2: Convert to fraction form
    17,439.92/24,072.36 = 11,854.16/x
  3. Step 3: Cross multiply
    17,439.92x = 24,072.36 × 11,854.16
  4. Step 4: Simplify right side
    17,439.92x = 285,357,607.02
  5. Step 5: Solve for x
    x = 285,357,607.02/17,439.92
  6. Step 6: Final answer
    x = 16,362.32

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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.