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Finding the Fourth Proportional to 12,378.98, 18,552.80 and 7,178.78

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Solution

The fourth proportional to 12,378.98, 18,552.80 and 7,178.78 is: 10,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.98 : 18,552.80 = 7,178.78 : x
  2. Step 2: Convert to fraction form
    12,378.98/18,552.80 = 7,178.78/x
  3. Step 3: Cross multiply
    12,378.98x = 18,552.80 × 7,178.78
  4. Step 4: Simplify right side
    12,378.98x = 133,186,340.93
  5. Step 5: Solve for x
    x = 133,186,340.93/12,378.98
  6. Step 6: Final answer
    x = 10,759.08

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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.