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Finding the Fourth Proportional to 24,397.88, 36,596.81 and 5,929.88

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Solution

The fourth proportional to 24,397.88, 36,596.81 and 5,929.88 is: 8,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.88 : 36,596.81 = 5,929.88 : x
  2. Step 2: Convert to fraction form
    24,397.88/36,596.81 = 5,929.88/x
  3. Step 3: Cross multiply
    24,397.88x = 36,596.81 × 5,929.88
  4. Step 4: Simplify right side
    24,397.88x = 217,014,523.52
  5. Step 5: Solve for x
    x = 217,014,523.52/24,397.88
  6. Step 6: Final answer
    x = 8,894.81

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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.