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Finding the Fourth Proportional to 17,291.47, 25,912.89 and 9,884.83

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Solution

The fourth proportional to 17,291.47, 25,912.89 and 9,884.83 is: 14,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,291.47 : 25,912.89 = 9,884.83 : x
  2. Step 2: Convert to fraction form
    17,291.47/25,912.89 = 9,884.83/x
  3. Step 3: Cross multiply
    17,291.47x = 25,912.89 × 9,884.83
  4. Step 4: Simplify right side
    17,291.47x = 256,144,512.46
  5. Step 5: Solve for x
    x = 256,144,512.46/17,291.47
  6. Step 6: Final answer
    x = 14,813.35

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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.