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Finding the Fourth Proportional to 22,763.92, 31,414.34 and 12,693

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Solution

The fourth proportional to 22,763.92, 31,414.34 and 12,693 is: 17,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,763.92 : 31,414.34 = 12,693 : x
  2. Step 2: Convert to fraction form
    22,763.92/31,414.34 = 12,693/x
  3. Step 3: Cross multiply
    22,763.92x = 31,414.34 × 12,693
  4. Step 4: Simplify right side
    22,763.92x = 398,742,217.62
  5. Step 5: Solve for x
    x = 398,742,217.62/22,763.92
  6. Step 6: Final answer
    x = 17,516.41

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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.