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Finding the Fourth Proportional to 12,257.16, 16,909.47 and 8,169.90

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Solution

The fourth proportional to 12,257.16, 16,909.47 and 8,169.90 is: 11,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.16 : 16,909.47 = 8,169.90 : x
  2. Step 2: Convert to fraction form
    12,257.16/16,909.47 = 8,169.90/x
  3. Step 3: Cross multiply
    12,257.16x = 16,909.47 × 8,169.90
  4. Step 4: Simplify right side
    12,257.16x = 138,148,678.95
  5. Step 5: Solve for x
    x = 138,148,678.95/12,257.16
  6. Step 6: Final answer
    x = 11,270.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.