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Finding the Fourth Proportional to 16,346.86, 22,560.33 and 9,634.65

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Solution

The fourth proportional to 16,346.86, 22,560.33 and 9,634.65 is: 13,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346.86 : 22,560.33 = 9,634.65 : x
  2. Step 2: Convert to fraction form
    16,346.86/22,560.33 = 9,634.65/x
  3. Step 3: Cross multiply
    16,346.86x = 22,560.33 × 9,634.65
  4. Step 4: Simplify right side
    16,346.86x = 217,360,883.43
  5. Step 5: Solve for x
    x = 217,360,883.43/16,346.86
  6. Step 6: Final answer
    x = 13,296.80

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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.