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Finding the Fourth Proportional to 16,589.36, 22,894.98 and 9,518

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Solution

The fourth proportional to 16,589.36, 22,894.98 and 9,518 is: 13,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.36 : 22,894.98 = 9,518 : x
  2. Step 2: Convert to fraction form
    16,589.36/22,894.98 = 9,518/x
  3. Step 3: Cross multiply
    16,589.36x = 22,894.98 × 9,518
  4. Step 4: Simplify right side
    16,589.36x = 217,914,419.64
  5. Step 5: Solve for x
    x = 217,914,419.64/16,589.36
  6. Step 6: Final answer
    x = 13,135.79

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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.