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Finding the Fourth Proportional to 17,671.96, 24,380.32 and 11,388

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Solution

The fourth proportional to 17,671.96, 24,380.32 and 11,388 is: 15,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.96 : 24,380.32 = 11,388 : x
  2. Step 2: Convert to fraction form
    17,671.96/24,380.32 = 11,388/x
  3. Step 3: Cross multiply
    17,671.96x = 24,380.32 × 11,388
  4. Step 4: Simplify right side
    17,671.96x = 277,643,084.16
  5. Step 5: Solve for x
    x = 277,643,084.16/17,671.96
  6. Step 6: Final answer
    x = 15,710.94

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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.