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Finding the Fourth Proportional to 10,149.30, 15,223.41 and 3,223.26

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Solution

The fourth proportional to 10,149.30, 15,223.41 and 3,223.26 is: 4,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.30 : 15,223.41 = 3,223.26 : x
  2. Step 2: Convert to fraction form
    10,149.30/15,223.41 = 3,223.26/x
  3. Step 3: Cross multiply
    10,149.30x = 15,223.41 × 3,223.26
  4. Step 4: Simplify right side
    10,149.30x = 49,069,008.52
  5. Step 5: Solve for x
    x = 49,069,008.52/10,149.30
  6. Step 6: Final answer
    x = 4,834.72

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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.