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Finding the Fourth Proportional to 16,543.59, 22,832.11 and 9,829.24

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Solution

The fourth proportional to 16,543.59, 22,832.11 and 9,829.24 is: 13,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.59 : 22,832.11 = 9,829.24 : x
  2. Step 2: Convert to fraction form
    16,543.59/22,832.11 = 9,829.24/x
  3. Step 3: Cross multiply
    16,543.59x = 22,832.11 × 9,829.24
  4. Step 4: Simplify right side
    16,543.59x = 224,422,174.74
  5. Step 5: Solve for x
    x = 224,422,174.74/16,543.59
  6. Step 6: Final answer
    x = 13,565.51

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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.