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Finding the Fourth Proportional to 22,645.80, 31,251.49 and 12,574.87

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Solution

The fourth proportional to 22,645.80, 31,251.49 and 12,574.87 is: 17,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645.80 : 31,251.49 = 12,574.87 : x
  2. Step 2: Convert to fraction form
    22,645.80/31,251.49 = 12,574.87/x
  3. Step 3: Cross multiply
    22,645.80x = 31,251.49 × 12,574.87
  4. Step 4: Simplify right side
    22,645.80x = 392,983,314.49
  5. Step 5: Solve for x
    x = 392,983,314.49/22,645.80
  6. Step 6: Final answer
    x = 17,353.47

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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.