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Finding the Fourth Proportional to 20,685.90, 31,033.46 and 7,538.28

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Solution

The fourth proportional to 20,685.90, 31,033.46 and 7,538.28 is: 11,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.90 : 31,033.46 = 7,538.28 : x
  2. Step 2: Convert to fraction form
    20,685.90/31,033.46 = 7,538.28/x
  3. Step 3: Cross multiply
    20,685.90x = 31,033.46 × 7,538.28
  4. Step 4: Simplify right side
    20,685.90x = 233,938,987.88
  5. Step 5: Solve for x
    x = 233,938,987.88/20,685.90
  6. Step 6: Final answer
    x = 11,309.10

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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.