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Finding the Fourth Proportional to 12,314.70, 18,435.60 and 8,159.40

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Solution

The fourth proportional to 12,314.70, 18,435.60 and 8,159.40 is: 12,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.70 : 18,435.60 = 8,159.40 : x
  2. Step 2: Convert to fraction form
    12,314.70/18,435.60 = 8,159.40/x
  3. Step 3: Cross multiply
    12,314.70x = 18,435.60 × 8,159.40
  4. Step 4: Simplify right side
    12,314.70x = 150,423,434.64
  5. Step 5: Solve for x
    x = 150,423,434.64/12,314.70
  6. Step 6: Final answer
    x = 12,214.95

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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.