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Finding the Fourth Proportional to 24,202.98, 36,311.76 and 8,618.58

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Solution

The fourth proportional to 24,202.98, 36,311.76 and 8,618.58 is: 12,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202.98 : 36,311.76 = 8,618.58 : x
  2. Step 2: Convert to fraction form
    24,202.98/36,311.76 = 8,618.58/x
  3. Step 3: Cross multiply
    24,202.98x = 36,311.76 × 8,618.58
  4. Step 4: Simplify right side
    24,202.98x = 312,955,808.50
  5. Step 5: Solve for x
    x = 312,955,808.50/24,202.98
  6. Step 6: Final answer
    x = 12,930.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.