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Finding the Fourth Proportional to 19,472.88, 29,209.32 and 15,584.88

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Solution

The fourth proportional to 19,472.88, 29,209.32 and 15,584.88 is: 23,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,472.88 : 29,209.32 = 15,584.88 : x
  2. Step 2: Convert to fraction form
    19,472.88/29,209.32 = 15,584.88/x
  3. Step 3: Cross multiply
    19,472.88x = 29,209.32 × 15,584.88
  4. Step 4: Simplify right side
    19,472.88x = 455,223,747.08
  5. Step 5: Solve for x
    x = 455,223,747.08/19,472.88
  6. Step 6: Final answer
    x = 23,377.32

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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.