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Finding the Fourth Proportional to 13,178.88, 18,180 and 8,930.16

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Solution

The fourth proportional to 13,178.88, 18,180 and 8,930.16 is: 12,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.88 : 18,180 = 8,930.16 : x
  2. Step 2: Convert to fraction form
    13,178.88/18,180 = 8,930.16/x
  3. Step 3: Cross multiply
    13,178.88x = 18,180 × 8,930.16
  4. Step 4: Simplify right side
    13,178.88x = 162,350,308.80
  5. Step 5: Solve for x
    x = 162,350,308.80/13,178.88
  6. Step 6: Final answer
    x = 12,318.98

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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.