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Finding the Fourth Proportional to 10,227.65, 15,339.69 and 3,302.15

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Solution

The fourth proportional to 10,227.65, 15,339.69 and 3,302.15 is: 4,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.65 : 15,339.69 = 3,302.15 : x
  2. Step 2: Convert to fraction form
    10,227.65/15,339.69 = 3,302.15/x
  3. Step 3: Cross multiply
    10,227.65x = 15,339.69 × 3,302.15
  4. Step 4: Simplify right side
    10,227.65x = 50,653,880.64
  5. Step 5: Solve for x
    x = 50,653,880.64/10,227.65
  6. Step 6: Final answer
    x = 4,952.64

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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.