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Finding the Fourth Proportional to 17,146.47, 25,762.84 and 10,909.27

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Solution

The fourth proportional to 17,146.47, 25,762.84 and 10,909.27 is: 16,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.47 : 25,762.84 = 10,909.27 : x
  2. Step 2: Convert to fraction form
    17,146.47/25,762.84 = 10,909.27/x
  3. Step 3: Cross multiply
    17,146.47x = 25,762.84 × 10,909.27
  4. Step 4: Simplify right side
    17,146.47x = 281,053,685.85
  5. Step 5: Solve for x
    x = 281,053,685.85/17,146.47
  6. Step 6: Final answer
    x = 16,391.34

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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.