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Finding the Fourth Proportional to 17,433, 24,058.08 and 9,981

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Solution

The fourth proportional to 17,433, 24,058.08 and 9,981 is: 13,774.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,433 : 24,058.08 = 9,981 : x
  2. Step 2: Convert to fraction form
    17,433/24,058.08 = 9,981/x
  3. Step 3: Cross multiply
    17,433x = 24,058.08 × 9,981
  4. Step 4: Simplify right side
    17,433x = 240,123,696.48
  5. Step 5: Solve for x
    x = 240,123,696.48/17,433
  6. Step 6: Final answer
    x = 13,774.09

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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.