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Finding the Fourth Proportional to 13,538.97, 20,287.51 and 9,387.09

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Solution

The fourth proportional to 13,538.97, 20,287.51 and 9,387.09 is: 14,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.97 : 20,287.51 = 9,387.09 : x
  2. Step 2: Convert to fraction form
    13,538.97/20,287.51 = 9,387.09/x
  3. Step 3: Cross multiply
    13,538.97x = 20,287.51 × 9,387.09
  4. Step 4: Simplify right side
    13,538.97x = 190,440,682.25
  5. Step 5: Solve for x
    x = 190,440,682.25/13,538.97
  6. Step 6: Final answer
    x = 14,066.11

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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.