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Finding the Fourth Proportional to 22,804.12, 34,215.90 and 8,023.24

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Solution

The fourth proportional to 22,804.12, 34,215.90 and 8,023.24 is: 12,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,804.12 : 34,215.90 = 8,023.24 : x
  2. Step 2: Convert to fraction form
    22,804.12/34,215.90 = 8,023.24/x
  3. Step 3: Cross multiply
    22,804.12x = 34,215.90 × 8,023.24
  4. Step 4: Simplify right side
    22,804.12x = 274,522,377.52
  5. Step 5: Solve for x
    x = 274,522,377.52/22,804.12
  6. Step 6: Final answer
    x = 12,038.28

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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.