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Finding the Fourth Proportional to 17,671.96, 24,397.50 and 11,721.16

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Solution

The fourth proportional to 17,671.96, 24,397.50 and 11,721.16 is: 16,181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.96 : 24,397.50 = 11,721.16 : x
  2. Step 2: Convert to fraction form
    17,671.96/24,397.50 = 11,721.16/x
  3. Step 3: Cross multiply
    17,671.96x = 24,397.50 × 11,721.16
  4. Step 4: Simplify right side
    17,671.96x = 285,967,001.10
  5. Step 5: Solve for x
    x = 285,967,001.10/17,671.96
  6. Step 6: Final answer
    x = 16,181.96

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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.