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Finding the Fourth Proportional to 15,012.25, 22,502.73 and 5,645.82

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Solution

The fourth proportional to 15,012.25, 22,502.73 and 5,645.82 is: 8,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012.25 : 22,502.73 = 5,645.82 : x
  2. Step 2: Convert to fraction form
    15,012.25/22,502.73 = 5,645.82/x
  3. Step 3: Cross multiply
    15,012.25x = 22,502.73 × 5,645.82
  4. Step 4: Simplify right side
    15,012.25x = 127,046,310.31
  5. Step 5: Solve for x
    x = 127,046,310.31/15,012.25
  6. Step 6: Final answer
    x = 8,462.84

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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.