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Finding the Fourth Proportional to 12,576.69, 18,866.70 and 4,140.40

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Solution

The fourth proportional to 12,576.69, 18,866.70 and 4,140.40 is: 6,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.69 : 18,866.70 = 4,140.40 : x
  2. Step 2: Convert to fraction form
    12,576.69/18,866.70 = 4,140.40/x
  3. Step 3: Cross multiply
    12,576.69x = 18,866.70 × 4,140.40
  4. Step 4: Simplify right side
    12,576.69x = 78,115,663.98
  5. Step 5: Solve for x
    x = 78,115,663.98/12,576.69
  6. Step 6: Final answer
    x = 6,211.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.