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Finding the Fourth Proportional to 16,545.41, 22,830.69 and 9,376.16

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Solution

The fourth proportional to 16,545.41, 22,830.69 and 9,376.16 is: 12,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.41 : 22,830.69 = 9,376.16 : x
  2. Step 2: Convert to fraction form
    16,545.41/22,830.69 = 9,376.16/x
  3. Step 3: Cross multiply
    16,545.41x = 22,830.69 × 9,376.16
  4. Step 4: Simplify right side
    16,545.41x = 214,064,044.25
  5. Step 5: Solve for x
    x = 214,064,044.25/16,545.41
  6. Step 6: Final answer
    x = 12,937.97

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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.