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Finding the Fourth Proportional to 12,378.86, 18,546.68 and 10,312.14

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Solution

The fourth proportional to 12,378.86, 18,546.68 and 10,312.14 is: 15,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.86 : 18,546.68 = 10,312.14 : x
  2. Step 2: Convert to fraction form
    12,378.86/18,546.68 = 10,312.14/x
  3. Step 3: Cross multiply
    12,378.86x = 18,546.68 × 10,312.14
  4. Step 4: Simplify right side
    12,378.86x = 191,255,960.70
  5. Step 5: Solve for x
    x = 191,255,960.70/12,378.86
  6. Step 6: Final answer
    x = 15,450.21

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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.