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Finding the Fourth Proportional to 24,782, 34,199.28 and 13,604

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Solution

The fourth proportional to 24,782, 34,199.28 and 13,604 is: 18,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782 : 34,199.28 = 13,604 : x
  2. Step 2: Convert to fraction form
    24,782/34,199.28 = 13,604/x
  3. Step 3: Cross multiply
    24,782x = 34,199.28 × 13,604
  4. Step 4: Simplify right side
    24,782x = 465,247,005.12
  5. Step 5: Solve for x
    x = 465,247,005.12/24,782
  6. Step 6: Final answer
    x = 18,773.59

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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.