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Finding the Fourth Proportional to 23,697.52, 32,701.28 and 13,086.38

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Solution

The fourth proportional to 23,697.52, 32,701.28 and 13,086.38 is: 18,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.52 : 32,701.28 = 13,086.38 : x
  2. Step 2: Convert to fraction form
    23,697.52/32,701.28 = 13,086.38/x
  3. Step 3: Cross multiply
    23,697.52x = 32,701.28 × 13,086.38
  4. Step 4: Simplify right side
    23,697.52x = 427,941,392.89
  5. Step 5: Solve for x
    x = 427,941,392.89/23,697.52
  6. Step 6: Final answer
    x = 18,058.49

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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.