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Finding the Fourth Proportional to 13,178.62, 18,184.70 and 7,872.31

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Solution

The fourth proportional to 13,178.62, 18,184.70 and 7,872.31 is: 10,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.62 : 18,184.70 = 7,872.31 : x
  2. Step 2: Convert to fraction form
    13,178.62/18,184.70 = 7,872.31/x
  3. Step 3: Cross multiply
    13,178.62x = 18,184.70 × 7,872.31
  4. Step 4: Simplify right side
    13,178.62x = 143,155,510.83
  5. Step 5: Solve for x
    x = 143,155,510.83/13,178.62
  6. Step 6: Final answer
    x = 10,862.71

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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.