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Finding the Fourth Proportional to 21,031.20, 31,546.80 and 19,735.20

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Solution

The fourth proportional to 21,031.20, 31,546.80 and 19,735.20 is: 29,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.20 : 31,546.80 = 19,735.20 : x
  2. Step 2: Convert to fraction form
    21,031.20/31,546.80 = 19,735.20/x
  3. Step 3: Cross multiply
    21,031.20x = 31,546.80 × 19,735.20
  4. Step 4: Simplify right side
    21,031.20x = 622,582,407.36
  5. Step 5: Solve for x
    x = 622,582,407.36/21,031.20
  6. Step 6: Final answer
    x = 29,602.80

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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.