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Finding the Fourth Proportional to 17,641.92, 24,347.10 and 11,663.20

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Solution

The fourth proportional to 17,641.92, 24,347.10 and 11,663.20 is: 16,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.92 : 24,347.10 = 11,663.20 : x
  2. Step 2: Convert to fraction form
    17,641.92/24,347.10 = 11,663.20/x
  3. Step 3: Cross multiply
    17,641.92x = 24,347.10 × 11,663.20
  4. Step 4: Simplify right side
    17,641.92x = 283,965,096.72
  5. Step 5: Solve for x
    x = 283,965,096.72/17,641.92
  6. Step 6: Final answer
    x = 16,096.04

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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.