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Finding the Fourth Proportional to 23,422.72, 32,330.88 and 15,472

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Solution

The fourth proportional to 23,422.72, 32,330.88 and 15,472 is: 21,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.72 : 32,330.88 = 15,472 : x
  2. Step 2: Convert to fraction form
    23,422.72/32,330.88 = 15,472/x
  3. Step 3: Cross multiply
    23,422.72x = 32,330.88 × 15,472
  4. Step 4: Simplify right side
    23,422.72x = 500,223,375.36
  5. Step 5: Solve for x
    x = 500,223,375.36/23,422.72
  6. Step 6: Final answer
    x = 21,356.33

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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.