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Finding the Fourth Proportional to 22,744.76, 34,085.12 and 8,689.64

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Solution

The fourth proportional to 22,744.76, 34,085.12 and 8,689.64 is: 13,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.76 : 34,085.12 = 8,689.64 : x
  2. Step 2: Convert to fraction form
    22,744.76/34,085.12 = 8,689.64/x
  3. Step 3: Cross multiply
    22,744.76x = 34,085.12 × 8,689.64
  4. Step 4: Simplify right side
    22,744.76x = 296,187,422.16
  5. Step 5: Solve for x
    x = 296,187,422.16/22,744.76
  6. Step 6: Final answer
    x = 13,022.23

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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.