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Finding the Fourth Proportional to 22,965.14, 34,454.18 and 9,123.86

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Solution

The fourth proportional to 22,965.14, 34,454.18 and 9,123.86 is: 13,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.14 : 34,454.18 = 9,123.86 : x
  2. Step 2: Convert to fraction form
    22,965.14/34,454.18 = 9,123.86/x
  3. Step 3: Cross multiply
    22,965.14x = 34,454.18 × 9,123.86
  4. Step 4: Simplify right side
    22,965.14x = 314,354,965.27
  5. Step 5: Solve for x
    x = 314,354,965.27/22,965.14
  6. Step 6: Final answer
    x = 13,688.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.