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Finding the Fourth Proportional to 17,291.81, 25,921.77 and 6,769

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Solution

The fourth proportional to 17,291.81, 25,921.77 and 6,769 is: 10,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,291.81 : 25,921.77 = 6,769 : x
  2. Step 2: Convert to fraction form
    17,291.81/25,921.77 = 6,769/x
  3. Step 3: Cross multiply
    17,291.81x = 25,921.77 × 6,769
  4. Step 4: Simplify right side
    17,291.81x = 175,464,461.13
  5. Step 5: Solve for x
    x = 175,464,461.13/17,291.81
  6. Step 6: Final answer
    x = 10,147.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.