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Finding the Fourth Proportional to 24,829.45, 34,265.02 and 13,498.92

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Solution

The fourth proportional to 24,829.45, 34,265.02 and 13,498.92 is: 18,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.45 : 34,265.02 = 13,498.92 : x
  2. Step 2: Convert to fraction form
    24,829.45/34,265.02 = 13,498.92/x
  3. Step 3: Cross multiply
    24,829.45x = 34,265.02 × 13,498.92
  4. Step 4: Simplify right side
    24,829.45x = 462,540,717.38
  5. Step 5: Solve for x
    x = 462,540,717.38/24,829.45
  6. Step 6: Final answer
    x = 18,628.71

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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.