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Finding the Fourth Proportional to 24,276.16, 36,435.94 and 12,438

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Solution

The fourth proportional to 24,276.16, 36,435.94 and 12,438 is: 18,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276.16 : 36,435.94 = 12,438 : x
  2. Step 2: Convert to fraction form
    24,276.16/36,435.94 = 12,438/x
  3. Step 3: Cross multiply
    24,276.16x = 36,435.94 × 12,438
  4. Step 4: Simplify right side
    24,276.16x = 453,190,221.72
  5. Step 5: Solve for x
    x = 453,190,221.72/24,276.16
  6. Step 6: Final answer
    x = 18,668.12

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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.