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Finding the Fourth Proportional to 22,825.53, 34,243.11 and 9,677.61

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Solution

The fourth proportional to 22,825.53, 34,243.11 and 9,677.61 is: 14,518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,825.53 : 34,243.11 = 9,677.61 : x
  2. Step 2: Convert to fraction form
    22,825.53/34,243.11 = 9,677.61/x
  3. Step 3: Cross multiply
    22,825.53x = 34,243.11 × 9,677.61
  4. Step 4: Simplify right side
    22,825.53x = 331,391,463.77
  5. Step 5: Solve for x
    x = 331,391,463.77/22,825.53
  6. Step 6: Final answer
    x = 14,518.46

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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.