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Finding the Fourth Proportional to 15,344.64, 22,965.12 and 9,506.16

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Solution

The fourth proportional to 15,344.64, 22,965.12 and 9,506.16 is: 14,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,344.64 : 22,965.12 = 9,506.16 : x
  2. Step 2: Convert to fraction form
    15,344.64/22,965.12 = 9,506.16/x
  3. Step 3: Cross multiply
    15,344.64x = 22,965.12 × 9,506.16
  4. Step 4: Simplify right side
    15,344.64x = 218,310,105.14
  5. Step 5: Solve for x
    x = 218,310,105.14/15,344.64
  6. Step 6: Final answer
    x = 14,227.12

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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.