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Finding the Fourth Proportional to 11,340.23, 17,019.18 and 7,854.66

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Solution

The fourth proportional to 11,340.23, 17,019.18 and 7,854.66 is: 11,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.23 : 17,019.18 = 7,854.66 : x
  2. Step 2: Convert to fraction form
    11,340.23/17,019.18 = 7,854.66/x
  3. Step 3: Cross multiply
    11,340.23x = 17,019.18 × 7,854.66
  4. Step 4: Simplify right side
    11,340.23x = 133,679,872.38
  5. Step 5: Solve for x
    x = 133,679,872.38/11,340.23
  6. Step 6: Final answer
    x = 11,788.11

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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.