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Finding the Fourth Proportional to 13,314.70, 18,370 and 8,839.32

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Solution

The fourth proportional to 13,314.70, 18,370 and 8,839.32 is: 12,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.70 : 18,370 = 8,839.32 : x
  2. Step 2: Convert to fraction form
    13,314.70/18,370 = 8,839.32/x
  3. Step 3: Cross multiply
    13,314.70x = 18,370 × 8,839.32
  4. Step 4: Simplify right side
    13,314.70x = 162,378,308.40
  5. Step 5: Solve for x
    x = 162,378,308.40/13,314.70
  6. Step 6: Final answer
    x = 12,195.42

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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.