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Finding the Fourth Proportional to 24,829.50, 34,264.80 and 13,651.50

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Solution

The fourth proportional to 24,829.50, 34,264.80 and 13,651.50 is: 18,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.50 : 34,264.80 = 13,651.50 : x
  2. Step 2: Convert to fraction form
    24,829.50/34,264.80 = 13,651.50/x
  3. Step 3: Cross multiply
    24,829.50x = 34,264.80 × 13,651.50
  4. Step 4: Simplify right side
    24,829.50x = 467,765,917.20
  5. Step 5: Solve for x
    x = 467,765,917.20/24,829.50
  6. Step 6: Final answer
    x = 18,839.12

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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.