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Finding the Fourth Proportional to 10,830.87, 16,214.67 and 9,793.26

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Solution

The fourth proportional to 10,830.87, 16,214.67 and 9,793.26 is: 14,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.87 : 16,214.67 = 9,793.26 : x
  2. Step 2: Convert to fraction form
    10,830.87/16,214.67 = 9,793.26/x
  3. Step 3: Cross multiply
    10,830.87x = 16,214.67 × 9,793.26
  4. Step 4: Simplify right side
    10,830.87x = 158,794,479.12
  5. Step 5: Solve for x
    x = 158,794,479.12/10,830.87
  6. Step 6: Final answer
    x = 14,661.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.