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Finding the Fourth Proportional to 17,671.91, 24,382.35 and 11,387.93

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Solution

The fourth proportional to 17,671.91, 24,382.35 and 11,387.93 is: 15,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.91 : 24,382.35 = 11,387.93 : x
  2. Step 2: Convert to fraction form
    17,671.91/24,382.35 = 11,387.93/x
  3. Step 3: Cross multiply
    17,671.91x = 24,382.35 × 11,387.93
  4. Step 4: Simplify right side
    17,671.91x = 277,664,373.12
  5. Step 5: Solve for x
    x = 277,664,373.12/17,671.91
  6. Step 6: Final answer
    x = 15,712.19

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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.