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Finding the Fourth Proportional to 22,919.60, 34,382.96 and 9,772

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Solution

The fourth proportional to 22,919.60, 34,382.96 and 9,772 is: 14,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,919.60 : 34,382.96 = 9,772 : x
  2. Step 2: Convert to fraction form
    22,919.60/34,382.96 = 9,772/x
  3. Step 3: Cross multiply
    22,919.60x = 34,382.96 × 9,772
  4. Step 4: Simplify right side
    22,919.60x = 335,990,285.12
  5. Step 5: Solve for x
    x = 335,990,285.12/22,919.60
  6. Step 6: Final answer
    x = 14,659.52

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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.