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Finding the Fourth Proportional to 12,576.96, 17,378.10 and 10,337.13

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Solution

The fourth proportional to 12,576.96, 17,378.10 and 10,337.13 is: 14,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.96 : 17,378.10 = 10,337.13 : x
  2. Step 2: Convert to fraction form
    12,576.96/17,378.10 = 10,337.13/x
  3. Step 3: Cross multiply
    12,576.96x = 17,378.10 × 10,337.13
  4. Step 4: Simplify right side
    12,576.96x = 179,639,678.85
  5. Step 5: Solve for x
    x = 179,639,678.85/12,576.96
  6. Step 6: Final answer
    x = 14,283.24

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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.