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Finding the Fourth Proportional to 23,702.28, 32,707.50 and 13,091.82

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Solution

The fourth proportional to 23,702.28, 32,707.50 and 13,091.82 is: 18,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.28 : 32,707.50 = 13,091.82 : x
  2. Step 2: Convert to fraction form
    23,702.28/32,707.50 = 13,091.82/x
  3. Step 3: Cross multiply
    23,702.28x = 32,707.50 × 13,091.82
  4. Step 4: Simplify right side
    23,702.28x = 428,200,702.65
  5. Step 5: Solve for x
    x = 428,200,702.65/23,702.28
  6. Step 6: Final answer
    x = 18,065.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.