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Finding the Fourth Proportional to 19,787, 29,680.40 and 8,100.22

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Solution

The fourth proportional to 19,787, 29,680.40 and 8,100.22 is: 12,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,787 : 29,680.40 = 8,100.22 : x
  2. Step 2: Convert to fraction form
    19,787/29,680.40 = 8,100.22/x
  3. Step 3: Cross multiply
    19,787x = 29,680.40 × 8,100.22
  4. Step 4: Simplify right side
    19,787x = 240,417,769.69
  5. Step 5: Solve for x
    x = 240,417,769.69/19,787
  6. Step 6: Final answer
    x = 12,150.29

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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.