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Finding the Fourth Proportional to 23,182.36, 34,773.16 and 9,331

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Solution

The fourth proportional to 23,182.36, 34,773.16 and 9,331 is: 13,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.36 : 34,773.16 = 9,331 : x
  2. Step 2: Convert to fraction form
    23,182.36/34,773.16 = 9,331/x
  3. Step 3: Cross multiply
    23,182.36x = 34,773.16 × 9,331
  4. Step 4: Simplify right side
    23,182.36x = 324,468,355.96
  5. Step 5: Solve for x
    x = 324,468,355.96/23,182.36
  6. Step 6: Final answer
    x = 13,996.35

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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.