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Finding the Fourth Proportional to 17,542.88, 26,306.64 and 9,214.04

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Solution

The fourth proportional to 17,542.88, 26,306.64 and 9,214.04 is: 13,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.88 : 26,306.64 = 9,214.04 : x
  2. Step 2: Convert to fraction form
    17,542.88/26,306.64 = 9,214.04/x
  3. Step 3: Cross multiply
    17,542.88x = 26,306.64 × 9,214.04
  4. Step 4: Simplify right side
    17,542.88x = 242,390,433.23
  5. Step 5: Solve for x
    x = 242,390,433.23/17,542.88
  6. Step 6: Final answer
    x = 13,817.03

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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.