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Finding the Fourth Proportional to 12,188.68, 18,258.66 and 5,605.84

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Solution

The fourth proportional to 12,188.68, 18,258.66 and 5,605.84 is: 8,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.68 : 18,258.66 = 5,605.84 : x
  2. Step 2: Convert to fraction form
    12,188.68/18,258.66 = 5,605.84/x
  3. Step 3: Cross multiply
    12,188.68x = 18,258.66 × 5,605.84
  4. Step 4: Simplify right side
    12,188.68x = 102,355,126.57
  5. Step 5: Solve for x
    x = 102,355,126.57/12,188.68
  6. Step 6: Final answer
    x = 8,397.56

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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.