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Finding the Fourth Proportional to 22,817.47, 34,226.34 and 7,022.32

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Solution

The fourth proportional to 22,817.47, 34,226.34 and 7,022.32 is: 10,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.47 : 34,226.34 = 7,022.32 : x
  2. Step 2: Convert to fraction form
    22,817.47/34,226.34 = 7,022.32/x
  3. Step 3: Cross multiply
    22,817.47x = 34,226.34 × 7,022.32
  4. Step 4: Simplify right side
    22,817.47x = 240,348,311.91
  5. Step 5: Solve for x
    x = 240,348,311.91/22,817.47
  6. Step 6: Final answer
    x = 10,533.52

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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.