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Finding the Fourth Proportional to 23,005.76, 34,514.92 and 8,216.18

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Solution

The fourth proportional to 23,005.76, 34,514.92 and 8,216.18 is: 12,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.76 : 34,514.92 = 8,216.18 : x
  2. Step 2: Convert to fraction form
    23,005.76/34,514.92 = 8,216.18/x
  3. Step 3: Cross multiply
    23,005.76x = 34,514.92 × 8,216.18
  4. Step 4: Simplify right side
    23,005.76x = 283,580,795.41
  5. Step 5: Solve for x
    x = 283,580,795.41/23,005.76
  6. Step 6: Final answer
    x = 12,326.51

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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.