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Finding the Fourth Proportional to 24,787.50, 34,206.75 and 13,609.50

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Solution

The fourth proportional to 24,787.50, 34,206.75 and 13,609.50 is: 18,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787.50 : 34,206.75 = 13,609.50 : x
  2. Step 2: Convert to fraction form
    24,787.50/34,206.75 = 13,609.50/x
  3. Step 3: Cross multiply
    24,787.50x = 34,206.75 × 13,609.50
  4. Step 4: Simplify right side
    24,787.50x = 465,536,764.13
  5. Step 5: Solve for x
    x = 465,536,764.13/24,787.50
  6. Step 6: Final answer
    x = 18,781.11

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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.