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Finding the Fourth Proportional to 24,818.50, 34,251.72 and 13,642.66

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Solution

The fourth proportional to 24,818.50, 34,251.72 and 13,642.66 is: 18,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,818.50 : 34,251.72 = 13,642.66 : x
  2. Step 2: Convert to fraction form
    24,818.50/34,251.72 = 13,642.66/x
  3. Step 3: Cross multiply
    24,818.50x = 34,251.72 × 13,642.66
  4. Step 4: Simplify right side
    24,818.50x = 467,284,570.38
  5. Step 5: Solve for x
    x = 467,284,570.38/24,818.50
  6. Step 6: Final answer
    x = 18,828.07

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Why These Related Problems?

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