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Finding the Fourth Proportional to 22,808.24, 34,228.77 and 8,029.58

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Solution

The fourth proportional to 22,808.24, 34,228.77 and 8,029.58 is: 12,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,808.24 : 34,228.77 = 8,029.58 : x
  2. Step 2: Convert to fraction form
    22,808.24/34,228.77 = 8,029.58/x
  3. Step 3: Cross multiply
    22,808.24x = 34,228.77 × 8,029.58
  4. Step 4: Simplify right side
    22,808.24x = 274,842,475.87
  5. Step 5: Solve for x
    x = 274,842,475.87/22,808.24
  6. Step 6: Final answer
    x = 12,050.14

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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.