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Finding the Fourth Proportional to 23,697.07, 32,702.07 and 13,086.70

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Solution

The fourth proportional to 23,697.07, 32,702.07 and 13,086.70 is: 18,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.07 : 32,702.07 = 13,086.70 : x
  2. Step 2: Convert to fraction form
    23,697.07/32,702.07 = 13,086.70/x
  3. Step 3: Cross multiply
    23,697.07x = 32,702.07 × 13,086.70
  4. Step 4: Simplify right side
    23,697.07x = 427,962,179.47
  5. Step 5: Solve for x
    x = 427,962,179.47/23,697.07
  6. Step 6: Final answer
    x = 18,059.71

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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.