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Finding the Fourth Proportional to 19,772.20, 29,658.30 and 15,884.20

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Solution

The fourth proportional to 19,772.20, 29,658.30 and 15,884.20 is: 23,826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.20 : 29,658.30 = 15,884.20 : x
  2. Step 2: Convert to fraction form
    19,772.20/29,658.30 = 15,884.20/x
  3. Step 3: Cross multiply
    19,772.20x = 29,658.30 × 15,884.20
  4. Step 4: Simplify right side
    19,772.20x = 471,098,368.86
  5. Step 5: Solve for x
    x = 471,098,368.86/19,772.20
  6. Step 6: Final answer
    x = 23,826.30

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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.