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Finding the Fourth Proportional to 22,497.75, 33,728.40 and 9,359.96

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Solution

The fourth proportional to 22,497.75, 33,728.40 and 9,359.96 is: 14,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.75 : 33,728.40 = 9,359.96 : x
  2. Step 2: Convert to fraction form
    22,497.75/33,728.40 = 9,359.96/x
  3. Step 3: Cross multiply
    22,497.75x = 33,728.40 × 9,359.96
  4. Step 4: Simplify right side
    22,497.75x = 315,696,306.22
  5. Step 5: Solve for x
    x = 315,696,306.22/22,497.75
  6. Step 6: Final answer
    x = 14,032.35

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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.