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Finding the Fourth Proportional to 14,147.76, 19,524.33 and 8,178.90

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Solution

The fourth proportional to 14,147.76, 19,524.33 and 8,178.90 is: 11,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.76 : 19,524.33 = 8,178.90 : x
  2. Step 2: Convert to fraction form
    14,147.76/19,524.33 = 8,178.90/x
  3. Step 3: Cross multiply
    14,147.76x = 19,524.33 × 8,178.90
  4. Step 4: Simplify right side
    14,147.76x = 159,687,542.64
  5. Step 5: Solve for x
    x = 159,687,542.64/14,147.76
  6. Step 6: Final answer
    x = 11,287.13

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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.