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Finding the Fourth Proportional to 11,448.72, 17,121.24 and 11,306.16

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Solution

The fourth proportional to 11,448.72, 17,121.24 and 11,306.16 is: 16,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.72 : 17,121.24 = 11,306.16 : x
  2. Step 2: Convert to fraction form
    11,448.72/17,121.24 = 11,306.16/x
  3. Step 3: Cross multiply
    11,448.72x = 17,121.24 × 11,306.16
  4. Step 4: Simplify right side
    11,448.72x = 193,575,478.84
  5. Step 5: Solve for x
    x = 193,575,478.84/11,448.72
  6. Step 6: Final answer
    x = 16,908.05

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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.