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Finding the Fourth Proportional to 21,042.54, 31,582.20 and 8,569.38

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Solution

The fourth proportional to 21,042.54, 31,582.20 and 8,569.38 is: 12,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042.54 : 31,582.20 = 8,569.38 : x
  2. Step 2: Convert to fraction form
    21,042.54/31,582.20 = 8,569.38/x
  3. Step 3: Cross multiply
    21,042.54x = 31,582.20 × 8,569.38
  4. Step 4: Simplify right side
    21,042.54x = 270,639,873.04
  5. Step 5: Solve for x
    x = 270,639,873.04/21,042.54
  6. Step 6: Final answer
    x = 12,861.56

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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.