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Finding the Fourth Proportional to 24,902.98, 34,358.78 and 14,826.38

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Solution

The fourth proportional to 24,902.98, 34,358.78 and 14,826.38 is: 20,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.98 : 34,358.78 = 14,826.38 : x
  2. Step 2: Convert to fraction form
    24,902.98/34,358.78 = 14,826.38/x
  3. Step 3: Cross multiply
    24,902.98x = 34,358.78 × 14,826.38
  4. Step 4: Simplify right side
    24,902.98x = 509,416,328.62
  5. Step 5: Solve for x
    x = 509,416,328.62/24,902.98
  6. Step 6: Final answer
    x = 20,456.04

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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.