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Finding the Fourth Proportional to 24,217.60, 36,277.80 and 16,344.40

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Solution

The fourth proportional to 24,217.60, 36,277.80 and 16,344.40 is: 24,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217.60 : 36,277.80 = 16,344.40 : x
  2. Step 2: Convert to fraction form
    24,217.60/36,277.80 = 16,344.40/x
  3. Step 3: Cross multiply
    24,217.60x = 36,277.80 × 16,344.40
  4. Step 4: Simplify right side
    24,217.60x = 592,938,874.32
  5. Step 5: Solve for x
    x = 592,938,874.32/24,217.60
  6. Step 6: Final answer
    x = 24,483.80

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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.