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Finding the Fourth Proportional to 16,543.32, 22,827.21 and 9,828.78

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Solution

The fourth proportional to 16,543.32, 22,827.21 and 9,828.78 is: 13,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.32 : 22,827.21 = 9,828.78 : x
  2. Step 2: Convert to fraction form
    16,543.32/22,827.21 = 9,828.78/x
  3. Step 3: Cross multiply
    16,543.32x = 22,827.21 × 9,828.78
  4. Step 4: Simplify right side
    16,543.32x = 224,363,510.97
  5. Step 5: Solve for x
    x = 224,363,510.97/16,543.32
  6. Step 6: Final answer
    x = 13,562.18

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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.