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Finding the Fourth Proportional to 16,165.78, 22,307.79 and 9,793.96

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Solution

The fourth proportional to 16,165.78, 22,307.79 and 9,793.96 is: 13,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.78 : 22,307.79 = 9,793.96 : x
  2. Step 2: Convert to fraction form
    16,165.78/22,307.79 = 9,793.96/x
  3. Step 3: Cross multiply
    16,165.78x = 22,307.79 × 9,793.96
  4. Step 4: Simplify right side
    16,165.78x = 218,481,602.95
  5. Step 5: Solve for x
    x = 218,481,602.95/16,165.78
  6. Step 6: Final answer
    x = 13,515.07

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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.