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Finding the Fourth Proportional to 24,287.40, 36,423.90 and 9,487.80

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Solution

The fourth proportional to 24,287.40, 36,423.90 and 9,487.80 is: 14,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.40 : 36,423.90 = 9,487.80 : x
  2. Step 2: Convert to fraction form
    24,287.40/36,423.90 = 9,487.80/x
  3. Step 3: Cross multiply
    24,287.40x = 36,423.90 × 9,487.80
  4. Step 4: Simplify right side
    24,287.40x = 345,582,678.42
  5. Step 5: Solve for x
    x = 345,582,678.42/24,287.40
  6. Step 6: Final answer
    x = 14,228.89

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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.