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Finding the Fourth Proportional to 16,229.52, 24,327 and 11,598.48

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Solution

The fourth proportional to 16,229.52, 24,327 and 11,598.48 is: 17,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.52 : 24,327 = 11,598.48 : x
  2. Step 2: Convert to fraction form
    16,229.52/24,327 = 11,598.48/x
  3. Step 3: Cross multiply
    16,229.52x = 24,327 × 11,598.48
  4. Step 4: Simplify right side
    16,229.52x = 282,156,222.96
  5. Step 5: Solve for x
    x = 282,156,222.96/16,229.52
  6. Step 6: Final answer
    x = 17,385.37

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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.