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Finding the Fourth Proportional to 17,002.13, 25,506.83 and 7,149.69

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Solution

The fourth proportional to 17,002.13, 25,506.83 and 7,149.69 is: 10,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.13 : 25,506.83 = 7,149.69 : x
  2. Step 2: Convert to fraction form
    17,002.13/25,506.83 = 7,149.69/x
  3. Step 3: Cross multiply
    17,002.13x = 25,506.83 × 7,149.69
  4. Step 4: Simplify right side
    17,002.13x = 182,365,945.26
  5. Step 5: Solve for x
    x = 182,365,945.26/17,002.13
  6. Step 6: Final answer
    x = 10,726.07

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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.