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Finding the Fourth Proportional to 24,314.26, 36,471.39 and 12,602.88

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Solution

The fourth proportional to 24,314.26, 36,471.39 and 12,602.88 is: 18,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.26 : 36,471.39 = 12,602.88 : x
  2. Step 2: Convert to fraction form
    24,314.26/36,471.39 = 12,602.88/x
  3. Step 3: Cross multiply
    24,314.26x = 36,471.39 × 12,602.88
  4. Step 4: Simplify right side
    24,314.26x = 459,644,551.60
  5. Step 5: Solve for x
    x = 459,644,551.60/24,314.26
  6. Step 6: Final answer
    x = 18,904.32

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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.