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Finding the Fourth Proportional to 19,987.68, 29,982 and 6,839.96

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Solution

The fourth proportional to 19,987.68, 29,982 and 6,839.96 is: 10,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.68 : 29,982 = 6,839.96 : x
  2. Step 2: Convert to fraction form
    19,987.68/29,982 = 6,839.96/x
  3. Step 3: Cross multiply
    19,987.68x = 29,982 × 6,839.96
  4. Step 4: Simplify right side
    19,987.68x = 205,075,680.72
  5. Step 5: Solve for x
    x = 205,075,680.72/19,987.68
  6. Step 6: Final answer
    x = 10,260.10

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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.