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Finding the Fourth Proportional to 22,752.32, 34,139.48 and 9,243.14

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Solution

The fourth proportional to 22,752.32, 34,139.48 and 9,243.14 is: 13,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.32 : 34,139.48 = 9,243.14 : x
  2. Step 2: Convert to fraction form
    22,752.32/34,139.48 = 9,243.14/x
  3. Step 3: Cross multiply
    22,752.32x = 34,139.48 × 9,243.14
  4. Step 4: Simplify right side
    22,752.32x = 315,555,776.25
  5. Step 5: Solve for x
    x = 315,555,776.25/22,752.32
  6. Step 6: Final answer
    x = 13,869.17

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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.