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Finding the Fourth Proportional to 12,378.73, 18,546.49 and 10,312.02

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Solution

The fourth proportional to 12,378.73, 18,546.49 and 10,312.02 is: 15,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.73 : 18,546.49 = 10,312.02 : x
  2. Step 2: Convert to fraction form
    12,378.73/18,546.49 = 10,312.02/x
  3. Step 3: Cross multiply
    12,378.73x = 18,546.49 × 10,312.02
  4. Step 4: Simplify right side
    12,378.73x = 191,251,775.81
  5. Step 5: Solve for x
    x = 191,251,775.81/12,378.73
  6. Step 6: Final answer
    x = 15,450.03

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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.