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Finding the Fourth Proportional to 15,827.31, 23,745.56 and 7,495.83

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Solution

The fourth proportional to 15,827.31, 23,745.56 and 7,495.83 is: 11,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.31 : 23,745.56 = 7,495.83 : x
  2. Step 2: Convert to fraction form
    15,827.31/23,745.56 = 7,495.83/x
  3. Step 3: Cross multiply
    15,827.31x = 23,745.56 × 7,495.83
  4. Step 4: Simplify right side
    15,827.31x = 177,992,643.54
  5. Step 5: Solve for x
    x = 177,992,643.54/15,827.31
  6. Step 6: Final answer
    x = 11,245.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.