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Finding the Fourth Proportional to 21,407.20, 32,139.60 and 17,029.60

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Solution

The fourth proportional to 21,407.20, 32,139.60 and 17,029.60 is: 25,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.20 : 32,139.60 = 17,029.60 : x
  2. Step 2: Convert to fraction form
    21,407.20/32,139.60 = 17,029.60/x
  3. Step 3: Cross multiply
    21,407.20x = 32,139.60 × 17,029.60
  4. Step 4: Simplify right side
    21,407.20x = 547,324,532.16
  5. Step 5: Solve for x
    x = 547,324,532.16/21,407.20
  6. Step 6: Final answer
    x = 25,567.31

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