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Finding the Fourth Proportional to 24,414.64, 36,597.27 and 9,617.80

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Solution

The fourth proportional to 24,414.64, 36,597.27 and 9,617.80 is: 14,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.64 : 36,597.27 = 9,617.80 : x
  2. Step 2: Convert to fraction form
    24,414.64/36,597.27 = 9,617.80/x
  3. Step 3: Cross multiply
    24,414.64x = 36,597.27 × 9,617.80
  4. Step 4: Simplify right side
    24,414.64x = 351,985,223.41
  5. Step 5: Solve for x
    x = 351,985,223.41/24,414.64
  6. Step 6: Final answer
    x = 14,416.97

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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.