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Finding the Fourth Proportional to 15,229.38, 22,816.94 and 9,303.15

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Solution

The fourth proportional to 15,229.38, 22,816.94 and 9,303.15 is: 13,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.38 : 22,816.94 = 9,303.15 : x
  2. Step 2: Convert to fraction form
    15,229.38/22,816.94 = 9,303.15/x
  3. Step 3: Cross multiply
    15,229.38x = 22,816.94 × 9,303.15
  4. Step 4: Simplify right side
    15,229.38x = 212,269,368.85
  5. Step 5: Solve for x
    x = 212,269,368.85/15,229.38
  6. Step 6: Final answer
    x = 13,938.15

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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.