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Finding the Fourth Proportional to 15,924.82, 23,854.38 and 9,331

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Solution

The fourth proportional to 15,924.82, 23,854.38 and 9,331 is: 13,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.82 : 23,854.38 = 9,331 : x
  2. Step 2: Convert to fraction form
    15,924.82/23,854.38 = 9,331/x
  3. Step 3: Cross multiply
    15,924.82x = 23,854.38 × 9,331
  4. Step 4: Simplify right side
    15,924.82x = 222,585,219.78
  5. Step 5: Solve for x
    x = 222,585,219.78/15,924.82
  6. Step 6: Final answer
    x = 13,977.25

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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.