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Finding the Fourth Proportional to 17,924.50, 26,862.53 and 6,825.13

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Solution

The fourth proportional to 17,924.50, 26,862.53 and 6,825.13 is: 10,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.50 : 26,862.53 = 6,825.13 : x
  2. Step 2: Convert to fraction form
    17,924.50/26,862.53 = 6,825.13/x
  3. Step 3: Cross multiply
    17,924.50x = 26,862.53 × 6,825.13
  4. Step 4: Simplify right side
    17,924.50x = 183,340,301.25
  5. Step 5: Solve for x
    x = 183,340,301.25/17,924.50
  6. Step 6: Final answer
    x = 10,228.48

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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.