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Finding the Fourth Proportional to 23,697.38, 32,702.16 and 13,086.78

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Solution

The fourth proportional to 23,697.38, 32,702.16 and 13,086.78 is: 18,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.38 : 32,702.16 = 13,086.78 : x
  2. Step 2: Convert to fraction form
    23,697.38/32,702.16 = 13,086.78/x
  3. Step 3: Cross multiply
    23,697.38x = 32,702.16 × 13,086.78
  4. Step 4: Simplify right side
    23,697.38x = 427,966,083.84
  5. Step 5: Solve for x
    x = 427,966,083.84/23,697.38
  6. Step 6: Final answer
    x = 18,059.64

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Why These Related Problems?

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