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Finding the Fourth Proportional to 16,202.28, 22,360.95 and 10,233.66

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Solution

The fourth proportional to 16,202.28, 22,360.95 and 10,233.66 is: 14,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.28 : 22,360.95 = 10,233.66 : x
  2. Step 2: Convert to fraction form
    16,202.28/22,360.95 = 10,233.66/x
  3. Step 3: Cross multiply
    16,202.28x = 22,360.95 × 10,233.66
  4. Step 4: Simplify right side
    16,202.28x = 228,834,359.58
  5. Step 5: Solve for x
    x = 228,834,359.58/16,202.28
  6. Step 6: Final answer
    x = 14,123.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.