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Finding the Fourth Proportional to 14,152.14, 19,524.51 and 9,115.97

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Solution

The fourth proportional to 14,152.14, 19,524.51 and 9,115.97 is: 12,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.14 : 19,524.51 = 9,115.97 : x
  2. Step 2: Convert to fraction form
    14,152.14/19,524.51 = 9,115.97/x
  3. Step 3: Cross multiply
    14,152.14x = 19,524.51 × 9,115.97
  4. Step 4: Simplify right side
    14,152.14x = 177,984,749.80
  5. Step 5: Solve for x
    x = 177,984,749.80/14,152.14
  6. Step 6: Final answer
    x = 12,576.53

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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.