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Finding the Fourth Proportional to 22,569.46, 33,854.97 and 10,717.13

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Solution

The fourth proportional to 22,569.46, 33,854.97 and 10,717.13 is: 16,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,569.46 : 33,854.97 = 10,717.13 : x
  2. Step 2: Convert to fraction form
    22,569.46/33,854.97 = 10,717.13/x
  3. Step 3: Cross multiply
    22,569.46x = 33,854.97 × 10,717.13
  4. Step 4: Simplify right side
    22,569.46x = 362,828,114.64
  5. Step 5: Solve for x
    x = 362,828,114.64/22,569.46
  6. Step 6: Final answer
    x = 16,076.07

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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.