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Finding the Fourth Proportional to 12,138.60, 16,708.14 and 8,989.32

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Solution

The fourth proportional to 12,138.60, 16,708.14 and 8,989.32 is: 12,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.60 : 16,708.14 = 8,989.32 : x
  2. Step 2: Convert to fraction form
    12,138.60/16,708.14 = 8,989.32/x
  3. Step 3: Cross multiply
    12,138.60x = 16,708.14 × 8,989.32
  4. Step 4: Simplify right side
    12,138.60x = 150,194,817.06
  5. Step 5: Solve for x
    x = 150,194,817.06/12,138.60
  6. Step 6: Final answer
    x = 12,373.32

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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.