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Finding the Fourth Proportional to 23,693.57, 32,702.74 and 13,627.83

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Solution

The fourth proportional to 23,693.57, 32,702.74 and 13,627.83 is: 18,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.57 : 32,702.74 = 13,627.83 : x
  2. Step 2: Convert to fraction form
    23,693.57/32,702.74 = 13,627.83/x
  3. Step 3: Cross multiply
    23,693.57x = 32,702.74 × 13,627.83
  4. Step 4: Simplify right side
    23,693.57x = 445,667,285.87
  5. Step 5: Solve for x
    x = 445,667,285.87/23,693.57
  6. Step 6: Final answer
    x = 18,809.63

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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.