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Finding the Fourth Proportional to 11,514.72, 17,285.76 and 11,045.28

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Solution

The fourth proportional to 11,514.72, 17,285.76 and 11,045.28 is: 16,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.72 : 17,285.76 = 11,045.28 : x
  2. Step 2: Convert to fraction form
    11,514.72/17,285.76 = 11,045.28/x
  3. Step 3: Cross multiply
    11,514.72x = 17,285.76 × 11,045.28
  4. Step 4: Simplify right side
    11,514.72x = 190,926,059.21
  5. Step 5: Solve for x
    x = 190,926,059.21/11,514.72
  6. Step 6: Final answer
    x = 16,581.04

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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.