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Finding the Fourth Proportional to 17,732.25, 24,475.22 and 10,470.71

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Solution

The fourth proportional to 17,732.25, 24,475.22 and 10,470.71 is: 14,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.25 : 24,475.22 = 10,470.71 : x
  2. Step 2: Convert to fraction form
    17,732.25/24,475.22 = 10,470.71/x
  3. Step 3: Cross multiply
    17,732.25x = 24,475.22 × 10,470.71
  4. Step 4: Simplify right side
    17,732.25x = 256,272,756.08
  5. Step 5: Solve for x
    x = 256,272,756.08/17,732.25
  6. Step 6: Final answer
    x = 14,452.35

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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.