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Finding the Fourth Proportional to 16,569.75, 22,871.17 and 9,859.46

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Solution

The fourth proportional to 16,569.75, 22,871.17 and 9,859.46 is: 13,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.75 : 22,871.17 = 9,859.46 : x
  2. Step 2: Convert to fraction form
    16,569.75/22,871.17 = 9,859.46/x
  3. Step 3: Cross multiply
    16,569.75x = 22,871.17 × 9,859.46
  4. Step 4: Simplify right side
    16,569.75x = 225,497,385.77
  5. Step 5: Solve for x
    x = 225,497,385.77/16,569.75
  6. Step 6: Final answer
    x = 13,608.98

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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.