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Finding the Fourth Proportional to 15,454.12, 21,326.82 and 8,380.66

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Solution

The fourth proportional to 15,454.12, 21,326.82 and 8,380.66 is: 11,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,454.12 : 21,326.82 = 8,380.66 : x
  2. Step 2: Convert to fraction form
    15,454.12/21,326.82 = 8,380.66/x
  3. Step 3: Cross multiply
    15,454.12x = 21,326.82 × 8,380.66
  4. Step 4: Simplify right side
    15,454.12x = 178,732,827.30
  5. Step 5: Solve for x
    x = 178,732,827.30/15,454.12
  6. Step 6: Final answer
    x = 11,565.38

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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.