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Finding the Fourth Proportional to 12,189.60, 18,286.32 and 5,264.16

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Solution

The fourth proportional to 12,189.60, 18,286.32 and 5,264.16 is: 7,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.60 : 18,286.32 = 5,264.16 : x
  2. Step 2: Convert to fraction form
    12,189.60/18,286.32 = 5,264.16/x
  3. Step 3: Cross multiply
    12,189.60x = 18,286.32 × 5,264.16
  4. Step 4: Simplify right side
    12,189.60x = 96,262,114.29
  5. Step 5: Solve for x
    x = 96,262,114.29/12,189.60
  6. Step 6: Final answer
    x = 7,897.07

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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.