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Finding the Fourth Proportional to 12,155.53, 18,233.31 and 6,957.76

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Solution

The fourth proportional to 12,155.53, 18,233.31 and 6,957.76 is: 10,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.53 : 18,233.31 = 6,957.76 : x
  2. Step 2: Convert to fraction form
    12,155.53/18,233.31 = 6,957.76/x
  3. Step 3: Cross multiply
    12,155.53x = 18,233.31 × 6,957.76
  4. Step 4: Simplify right side
    12,155.53x = 126,862,994.99
  5. Step 5: Solve for x
    x = 126,862,994.99/12,155.53
  6. Step 6: Final answer
    x = 10,436.65

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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.