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Finding the Fourth Proportional to 22,663.50, 33,970.95 and 10,950.90

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Solution

The fourth proportional to 22,663.50, 33,970.95 and 10,950.90 is: 16,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.50 : 33,970.95 = 10,950.90 : x
  2. Step 2: Convert to fraction form
    22,663.50/33,970.95 = 10,950.90/x
  3. Step 3: Cross multiply
    22,663.50x = 33,970.95 × 10,950.90
  4. Step 4: Simplify right side
    22,663.50x = 372,012,476.36
  5. Step 5: Solve for x
    x = 372,012,476.36/22,663.50
  6. Step 6: Final answer
    x = 16,414.61

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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.