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Finding the Fourth Proportional to 23,514.66, 35,247.17 and 7,715.54

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Solution

The fourth proportional to 23,514.66, 35,247.17 and 7,715.54 is: 11,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.66 : 35,247.17 = 7,715.54 : x
  2. Step 2: Convert to fraction form
    23,514.66/35,247.17 = 7,715.54/x
  3. Step 3: Cross multiply
    23,514.66x = 35,247.17 × 7,715.54
  4. Step 4: Simplify right side
    23,514.66x = 271,950,735.21
  5. Step 5: Solve for x
    x = 271,950,735.21/23,514.66
  6. Step 6: Final answer
    x = 11,565.16

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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.