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Finding the Fourth Proportional to 19,129.60, 28,691.84 and 6,816

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Solution

The fourth proportional to 19,129.60, 28,691.84 and 6,816 is: 10,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,129.60 : 28,691.84 = 6,816 : x
  2. Step 2: Convert to fraction form
    19,129.60/28,691.84 = 6,816/x
  3. Step 3: Cross multiply
    19,129.60x = 28,691.84 × 6,816
  4. Step 4: Simplify right side
    19,129.60x = 195,563,581.44
  5. Step 5: Solve for x
    x = 195,563,581.44/19,129.60
  6. Step 6: Final answer
    x = 10,223.09

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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.