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Finding the Fourth Proportional to 12,132.58, 18,202.74 and 6,206.80

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Solution

The fourth proportional to 12,132.58, 18,202.74 and 6,206.80 is: 9,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.58 : 18,202.74 = 6,206.80 : x
  2. Step 2: Convert to fraction form
    12,132.58/18,202.74 = 6,206.80/x
  3. Step 3: Cross multiply
    12,132.58x = 18,202.74 × 6,206.80
  4. Step 4: Simplify right side
    12,132.58x = 112,980,766.63
  5. Step 5: Solve for x
    x = 112,980,766.63/12,132.58
  6. Step 6: Final answer
    x = 9,312.18

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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.