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Finding the Fourth Proportional to 12,286.19, 16,937.76 and 10,390.15

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Solution

The fourth proportional to 12,286.19, 16,937.76 and 10,390.15 is: 14,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.19 : 16,937.76 = 10,390.15 : x
  2. Step 2: Convert to fraction form
    12,286.19/16,937.76 = 10,390.15/x
  3. Step 3: Cross multiply
    12,286.19x = 16,937.76 × 10,390.15
  4. Step 4: Simplify right side
    12,286.19x = 175,985,824.72
  5. Step 5: Solve for x
    x = 175,985,824.72/12,286.19
  6. Step 6: Final answer
    x = 14,323.87

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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.