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Finding the Fourth Proportional to 37,813.92, 56,724.64 and 14,460

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Solution

The fourth proportional to 37,813.92, 56,724.64 and 14,460 is: 21,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,813.92 : 56,724.64 = 14,460 : x
  2. Step 2: Convert to fraction form
    37,813.92/56,724.64 = 14,460/x
  3. Step 3: Cross multiply
    37,813.92x = 56,724.64 × 14,460
  4. Step 4: Simplify right side
    37,813.92x = 820,238,294.40
  5. Step 5: Solve for x
    x = 820,238,294.40/37,813.92
  6. Step 6: Final answer
    x = 21,691.44

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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.