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Finding the Fourth Proportional to 24,008.40, 36,002.88 and 9,217.80

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Solution

The fourth proportional to 24,008.40, 36,002.88 and 9,217.80 is: 13,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,008.40 : 36,002.88 = 9,217.80 : x
  2. Step 2: Convert to fraction form
    24,008.40/36,002.88 = 9,217.80/x
  3. Step 3: Cross multiply
    24,008.40x = 36,002.88 × 9,217.80
  4. Step 4: Simplify right side
    24,008.40x = 331,867,347.26
  5. Step 5: Solve for x
    x = 331,867,347.26/24,008.40
  6. Step 6: Final answer
    x = 13,822.97

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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.