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Finding the Fourth Proportional to 24,414.86, 33,695.02 and 14,855.43

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Solution

The fourth proportional to 24,414.86, 33,695.02 and 14,855.43 is: 20,502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.86 : 33,695.02 = 14,855.43 : x
  2. Step 2: Convert to fraction form
    24,414.86/33,695.02 = 14,855.43/x
  3. Step 3: Cross multiply
    24,414.86x = 33,695.02 × 14,855.43
  4. Step 4: Simplify right side
    24,414.86x = 500,554,155.88
  5. Step 5: Solve for x
    x = 500,554,155.88/24,414.86
  6. Step 6: Final answer
    x = 20,502.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.