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Finding the Fourth Proportional to 15,230.27, 22,842.62 and 6,908.29

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Solution

The fourth proportional to 15,230.27, 22,842.62 and 6,908.29 is: 10,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,230.27 : 22,842.62 = 6,908.29 : x
  2. Step 2: Convert to fraction form
    15,230.27/22,842.62 = 6,908.29/x
  3. Step 3: Cross multiply
    15,230.27x = 22,842.62 × 6,908.29
  4. Step 4: Simplify right side
    15,230.27x = 157,803,377.58
  5. Step 5: Solve for x
    x = 157,803,377.58/15,230.27
  6. Step 6: Final answer
    x = 10,361.17

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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.