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Finding the Fourth Proportional to 22,876.72, 31,565.70 and 13,184.66

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Solution

The fourth proportional to 22,876.72, 31,565.70 and 13,184.66 is: 18,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.72 : 31,565.70 = 13,184.66 : x
  2. Step 2: Convert to fraction form
    22,876.72/31,565.70 = 13,184.66/x
  3. Step 3: Cross multiply
    22,876.72x = 31,565.70 × 13,184.66
  4. Step 4: Simplify right side
    22,876.72x = 416,183,101.08
  5. Step 5: Solve for x
    x = 416,183,101.08/22,876.72
  6. Step 6: Final answer
    x = 18,192.43

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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.