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Finding the Fourth Proportional to 23,866.38, 32,935.60 and 13,257

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Solution

The fourth proportional to 23,866.38, 32,935.60 and 13,257 is: 18,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,866.38 : 32,935.60 = 13,257 : x
  2. Step 2: Convert to fraction form
    23,866.38/32,935.60 = 13,257/x
  3. Step 3: Cross multiply
    23,866.38x = 32,935.60 × 13,257
  4. Step 4: Simplify right side
    23,866.38x = 436,627,249.20
  5. Step 5: Solve for x
    x = 436,627,249.20/23,866.38
  6. Step 6: Final answer
    x = 18,294.66

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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.