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Finding the Fourth Proportional to 15,204.24, 22,802.04 and 5,843.61

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Solution

The fourth proportional to 15,204.24, 22,802.04 and 5,843.61 is: 8,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.24 : 22,802.04 = 5,843.61 : x
  2. Step 2: Convert to fraction form
    15,204.24/22,802.04 = 5,843.61/x
  3. Step 3: Cross multiply
    15,204.24x = 22,802.04 × 5,843.61
  4. Step 4: Simplify right side
    15,204.24x = 133,246,228.96
  5. Step 5: Solve for x
    x = 133,246,228.96/15,204.24
  6. Step 6: Final answer
    x = 8,763.75

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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.