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Finding the Fourth Proportional to 24,734.16, 34,124.04 and 16,246.80

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Solution

The fourth proportional to 24,734.16, 34,124.04 and 16,246.80 is: 22,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734.16 : 34,124.04 = 16,246.80 : x
  2. Step 2: Convert to fraction form
    24,734.16/34,124.04 = 16,246.80/x
  3. Step 3: Cross multiply
    24,734.16x = 34,124.04 × 16,246.80
  4. Step 4: Simplify right side
    24,734.16x = 554,406,453.07
  5. Step 5: Solve for x
    x = 554,406,453.07/24,734.16
  6. Step 6: Final answer
    x = 22,414.61

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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.