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Finding the Fourth Proportional to 18,972.25, 26,182.25 and 10,589.29

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Solution

The fourth proportional to 18,972.25, 26,182.25 and 10,589.29 is: 14,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,972.25 : 26,182.25 = 10,589.29 : x
  2. Step 2: Convert to fraction form
    18,972.25/26,182.25 = 10,589.29/x
  3. Step 3: Cross multiply
    18,972.25x = 26,182.25 × 10,589.29
  4. Step 4: Simplify right side
    18,972.25x = 277,251,385.16
  5. Step 5: Solve for x
    x = 277,251,385.16/18,972.25
  6. Step 6: Final answer
    x = 14,613.52

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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.