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Finding the Fourth Proportional to 22,999.24, 34,470.02 and 9,836.16

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Solution

The fourth proportional to 22,999.24, 34,470.02 and 9,836.16 is: 14,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,999.24 : 34,470.02 = 9,836.16 : x
  2. Step 2: Convert to fraction form
    22,999.24/34,470.02 = 9,836.16/x
  3. Step 3: Cross multiply
    22,999.24x = 34,470.02 × 9,836.16
  4. Step 4: Simplify right side
    22,999.24x = 339,052,631.92
  5. Step 5: Solve for x
    x = 339,052,631.92/22,999.24
  6. Step 6: Final answer
    x = 14,741.91

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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.