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Finding the Fourth Proportional to 24,380.64, 36,620.16 and 14,539.20

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Solution

The fourth proportional to 24,380.64, 36,620.16 and 14,539.20 is: 21,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.64 : 36,620.16 = 14,539.20 : x
  2. Step 2: Convert to fraction form
    24,380.64/36,620.16 = 14,539.20/x
  3. Step 3: Cross multiply
    24,380.64x = 36,620.16 × 14,539.20
  4. Step 4: Simplify right side
    24,380.64x = 532,427,830.27
  5. Step 5: Solve for x
    x = 532,427,830.27/24,380.64
  6. Step 6: Final answer
    x = 21,838.14

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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.