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Finding the Fourth Proportional to 24,616.80, 33,971.18 and 13,438.80

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Solution

The fourth proportional to 24,616.80, 33,971.18 and 13,438.80 is: 18,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.80 : 33,971.18 = 13,438.80 : x
  2. Step 2: Convert to fraction form
    24,616.80/33,971.18 = 13,438.80/x
  3. Step 3: Cross multiply
    24,616.80x = 33,971.18 × 13,438.80
  4. Step 4: Simplify right side
    24,616.80x = 456,531,826.59
  5. Step 5: Solve for x
    x = 456,531,826.59/24,616.80
  6. Step 6: Final answer
    x = 18,545.54

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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.