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Finding the Fourth Proportional to 24,132.98, 36,204.29 and 8,338.58

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Solution

The fourth proportional to 24,132.98, 36,204.29 and 8,338.58 is: 12,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,132.98 : 36,204.29 = 8,338.58 : x
  2. Step 2: Convert to fraction form
    24,132.98/36,204.29 = 8,338.58/x
  3. Step 3: Cross multiply
    24,132.98x = 36,204.29 × 8,338.58
  4. Step 4: Simplify right side
    24,132.98x = 301,892,145.79
  5. Step 5: Solve for x
    x = 301,892,145.79/24,132.98
  6. Step 6: Final answer
    x = 12,509.53

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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.