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Finding the Fourth Proportional to 16,193.62, 22,348.78 and 9,478.84

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Solution

The fourth proportional to 16,193.62, 22,348.78 and 9,478.84 is: 13,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.62 : 22,348.78 = 9,478.84 : x
  2. Step 2: Convert to fraction form
    16,193.62/22,348.78 = 9,478.84/x
  3. Step 3: Cross multiply
    16,193.62x = 22,348.78 × 9,478.84
  4. Step 4: Simplify right side
    16,193.62x = 211,840,421.77
  5. Step 5: Solve for x
    x = 211,840,421.77/16,193.62
  6. Step 6: Final answer
    x = 13,081.73

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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.