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Finding the Fourth Proportional to 16,000.40, 22,078.32 and 9,286.58

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Solution

The fourth proportional to 16,000.40, 22,078.32 and 9,286.58 is: 12,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.40 : 22,078.32 = 9,286.58 : x
  2. Step 2: Convert to fraction form
    16,000.40/22,078.32 = 9,286.58/x
  3. Step 3: Cross multiply
    16,000.40x = 22,078.32 × 9,286.58
  4. Step 4: Simplify right side
    16,000.40x = 205,032,084.95
  5. Step 5: Solve for x
    x = 205,032,084.95/16,000.40
  6. Step 6: Final answer
    x = 12,814.18

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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.