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Finding the Fourth Proportional to 21,610.16, 32,414.90 and 13,179.14

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Solution

The fourth proportional to 21,610.16, 32,414.90 and 13,179.14 is: 19,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610.16 : 32,414.90 = 13,179.14 : x
  2. Step 2: Convert to fraction form
    21,610.16/32,414.90 = 13,179.14/x
  3. Step 3: Cross multiply
    21,610.16x = 32,414.90 × 13,179.14
  4. Step 4: Simplify right side
    21,610.16x = 427,200,277.22
  5. Step 5: Solve for x
    x = 427,200,277.22/21,610.16
  6. Step 6: Final answer
    x = 19,768.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.