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Finding the Fourth Proportional to 12,306.16, 18,448.26 and 4,513.16

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Solution

The fourth proportional to 12,306.16, 18,448.26 and 4,513.16 is: 6,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.16 : 18,448.26 = 4,513.16 : x
  2. Step 2: Convert to fraction form
    12,306.16/18,448.26 = 4,513.16/x
  3. Step 3: Cross multiply
    12,306.16x = 18,448.26 × 4,513.16
  4. Step 4: Simplify right side
    12,306.16x = 83,259,949.10
  5. Step 5: Solve for x
    x = 83,259,949.10/12,306.16
  6. Step 6: Final answer
    x = 6,765.71

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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.