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Finding the Fourth Proportional to 22,802.46, 34,205.64 and 8,010.09

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Solution

The fourth proportional to 22,802.46, 34,205.64 and 8,010.09 is: 12,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.46 : 34,205.64 = 8,010.09 : x
  2. Step 2: Convert to fraction form
    22,802.46/34,205.64 = 8,010.09/x
  3. Step 3: Cross multiply
    22,802.46x = 34,205.64 × 8,010.09
  4. Step 4: Simplify right side
    22,802.46x = 273,990,254.91
  5. Step 5: Solve for x
    x = 273,990,254.91/22,802.46
  6. Step 6: Final answer
    x = 12,015.82

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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.