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Finding the Fourth Proportional to 24,862.50, 34,310.25 and 13,684.50

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Solution

The fourth proportional to 24,862.50, 34,310.25 and 13,684.50 is: 18,884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,862.50 : 34,310.25 = 13,684.50 : x
  2. Step 2: Convert to fraction form
    24,862.50/34,310.25 = 13,684.50/x
  3. Step 3: Cross multiply
    24,862.50x = 34,310.25 × 13,684.50
  4. Step 4: Simplify right side
    24,862.50x = 469,518,616.13
  5. Step 5: Solve for x
    x = 469,518,616.13/24,862.50
  6. Step 6: Final answer
    x = 18,884.61

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1.5x scale

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.