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Finding the Fourth Proportional to 20,851.20, 31,276.80 and 19,468.80

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Solution

The fourth proportional to 20,851.20, 31,276.80 and 19,468.80 is: 29,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.20 : 31,276.80 = 19,468.80 : x
  2. Step 2: Convert to fraction form
    20,851.20/31,276.80 = 19,468.80/x
  3. Step 3: Cross multiply
    20,851.20x = 31,276.80 × 19,468.80
  4. Step 4: Simplify right side
    20,851.20x = 608,921,763.84
  5. Step 5: Solve for x
    x = 608,921,763.84/20,851.20
  6. Step 6: Final answer
    x = 29,203.20

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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.