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Finding the Fourth Proportional to 16,827.20, 23,221.98 and 9,657.70

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Solution

The fourth proportional to 16,827.20, 23,221.98 and 9,657.70 is: 13,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.20 : 23,221.98 = 9,657.70 : x
  2. Step 2: Convert to fraction form
    16,827.20/23,221.98 = 9,657.70/x
  3. Step 3: Cross multiply
    16,827.20x = 23,221.98 × 9,657.70
  4. Step 4: Simplify right side
    16,827.20x = 224,270,916.25
  5. Step 5: Solve for x
    x = 224,270,916.25/16,827.20
  6. Step 6: Final answer
    x = 13,327.88

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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.