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Finding the Fourth Proportional to 12,129.93, 18,182.55 and 9,202.08

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Solution

The fourth proportional to 12,129.93, 18,182.55 and 9,202.08 is: 13,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.93 : 18,182.55 = 9,202.08 : x
  2. Step 2: Convert to fraction form
    12,129.93/18,182.55 = 9,202.08/x
  3. Step 3: Cross multiply
    12,129.93x = 18,182.55 × 9,202.08
  4. Step 4: Simplify right side
    12,129.93x = 167,317,279.70
  5. Step 5: Solve for x
    x = 167,317,279.70/12,129.93
  6. Step 6: Final answer
    x = 13,793.75

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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.