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Finding the Fourth Proportional to 24,863.50, 34,312.17 and 13,685.50

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Solution

The fourth proportional to 24,863.50, 34,312.17 and 13,685.50 is: 18,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,863.50 : 34,312.17 = 13,685.50 : x
  2. Step 2: Convert to fraction form
    24,863.50/34,312.17 = 13,685.50/x
  3. Step 3: Cross multiply
    24,863.50x = 34,312.17 × 13,685.50
  4. Step 4: Simplify right side
    24,863.50x = 469,579,202.54
  5. Step 5: Solve for x
    x = 469,579,202.54/24,863.50
  6. Step 6: Final answer
    x = 18,886.29

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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.