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Finding the Fourth Proportional to 24,514.54, 36,777.31 and 7,875.52

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Solution

The fourth proportional to 24,514.54, 36,777.31 and 7,875.52 is: 11,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514.54 : 36,777.31 = 7,875.52 : x
  2. Step 2: Convert to fraction form
    24,514.54/36,777.31 = 7,875.52/x
  3. Step 3: Cross multiply
    24,514.54x = 36,777.31 × 7,875.52
  4. Step 4: Simplify right side
    24,514.54x = 289,640,328.82
  5. Step 5: Solve for x
    x = 289,640,328.82/24,514.54
  6. Step 6: Final answer
    x = 11,815.04

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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.