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Finding the Fourth Proportional to 15,981.12, 22,058.82 and 9,268.38

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Solution

The fourth proportional to 15,981.12, 22,058.82 and 9,268.38 is: 12,793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,981.12 : 22,058.82 = 9,268.38 : x
  2. Step 2: Convert to fraction form
    15,981.12/22,058.82 = 9,268.38/x
  3. Step 3: Cross multiply
    15,981.12x = 22,058.82 × 9,268.38
  4. Step 4: Simplify right side
    15,981.12x = 204,449,526.11
  5. Step 5: Solve for x
    x = 204,449,526.11/15,981.12
  6. Step 6: Final answer
    x = 12,793.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.