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Finding the Fourth Proportional to 12,324.65, 18,488.99 and 6,780.60

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Solution

The fourth proportional to 12,324.65, 18,488.99 and 6,780.60 is: 10,172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.65 : 18,488.99 = 6,780.60 : x
  2. Step 2: Convert to fraction form
    12,324.65/18,488.99 = 6,780.60/x
  3. Step 3: Cross multiply
    12,324.65x = 18,488.99 × 6,780.60
  4. Step 4: Simplify right side
    12,324.65x = 125,366,411.69
  5. Step 5: Solve for x
    x = 125,366,411.69/12,324.65
  6. Step 6: Final answer
    x = 10,172.01

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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.