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Finding the Fourth Proportional to 18,497.60, 27,722.10 and 16,407.80

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Solution

The fourth proportional to 18,497.60, 27,722.10 and 16,407.80 is: 24,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497.60 : 27,722.10 = 16,407.80 : x
  2. Step 2: Convert to fraction form
    18,497.60/27,722.10 = 16,407.80/x
  3. Step 3: Cross multiply
    18,497.60x = 27,722.10 × 16,407.80
  4. Step 4: Simplify right side
    18,497.60x = 454,858,672.38
  5. Step 5: Solve for x
    x = 454,858,672.38/18,497.60
  6. Step 6: Final answer
    x = 24,590.15

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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.