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Finding the Fourth Proportional to 21,229.52, 29,310 and 13,679.60

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Solution

The fourth proportional to 21,229.52, 29,310 and 13,679.60 is: 18,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.52 : 29,310 = 13,679.60 : x
  2. Step 2: Convert to fraction form
    21,229.52/29,310 = 13,679.60/x
  3. Step 3: Cross multiply
    21,229.52x = 29,310 × 13,679.60
  4. Step 4: Simplify right side
    21,229.52x = 400,949,076
  5. Step 5: Solve for x
    x = 400,949,076/21,229.52
  6. Step 6: Final answer
    x = 18,886.39

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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.