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Finding the Fourth Proportional to 15,344.39, 23,009.20 and 9,105.20

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Solution

The fourth proportional to 15,344.39, 23,009.20 and 9,105.20 is: 13,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,344.39 : 23,009.20 = 9,105.20 : x
  2. Step 2: Convert to fraction form
    15,344.39/23,009.20 = 9,105.20/x
  3. Step 3: Cross multiply
    15,344.39x = 23,009.20 × 9,105.20
  4. Step 4: Simplify right side
    15,344.39x = 209,503,367.84
  5. Step 5: Solve for x
    x = 209,503,367.84/15,344.39
  6. Step 6: Final answer
    x = 13,653.42

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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.