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Finding the Fourth Proportional to 23,225.70, 34,833.90 and 9,896.14

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Solution

The fourth proportional to 23,225.70, 34,833.90 and 9,896.14 is: 14,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.70 : 34,833.90 = 9,896.14 : x
  2. Step 2: Convert to fraction form
    23,225.70/34,833.90 = 9,896.14/x
  3. Step 3: Cross multiply
    23,225.70x = 34,833.90 × 9,896.14
  4. Step 4: Simplify right side
    23,225.70x = 344,721,151.15
  5. Step 5: Solve for x
    x = 344,721,151.15/23,225.70
  6. Step 6: Final answer
    x = 14,842.23

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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.