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Finding the Fourth Proportional to 16,584.85, 22,886.83 and 9,031.23

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Solution

The fourth proportional to 16,584.85, 22,886.83 and 9,031.23 is: 12,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.85 : 22,886.83 = 9,031.23 : x
  2. Step 2: Convert to fraction form
    16,584.85/22,886.83 = 9,031.23/x
  3. Step 3: Cross multiply
    16,584.85x = 22,886.83 × 9,031.23
  4. Step 4: Simplify right side
    16,584.85x = 206,696,236.99
  5. Step 5: Solve for x
    x = 206,696,236.99/16,584.85
  6. Step 6: Final answer
    x = 12,462.95

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