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Finding the Fourth Proportional to 24,493.59, 36,756.72 and 15,734.79

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Solution

The fourth proportional to 24,493.59, 36,756.72 and 15,734.79 is: 23,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.59 : 36,756.72 = 15,734.79 : x
  2. Step 2: Convert to fraction form
    24,493.59/36,756.72 = 15,734.79/x
  3. Step 3: Cross multiply
    24,493.59x = 36,756.72 × 15,734.79
  4. Step 4: Simplify right side
    24,493.59x = 578,359,270.29
  5. Step 5: Solve for x
    x = 578,359,270.29/24,493.59
  6. Step 6: Final answer
    x = 23,612.68

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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.