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Finding the Fourth Proportional to 21,195.20, 31,807.20 and 12,420.80

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Solution

The fourth proportional to 21,195.20, 31,807.20 and 12,420.80 is: 18,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195.20 : 31,807.20 = 12,420.80 : x
  2. Step 2: Convert to fraction form
    21,195.20/31,807.20 = 12,420.80/x
  3. Step 3: Cross multiply
    21,195.20x = 31,807.20 × 12,420.80
  4. Step 4: Simplify right side
    21,195.20x = 395,070,869.76
  5. Step 5: Solve for x
    x = 395,070,869.76/21,195.20
  6. Step 6: Final answer
    x = 18,639.64

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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.