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Finding the Fourth Proportional to 22,796.42, 34,210.69 and 8,006.49

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Solution

The fourth proportional to 22,796.42, 34,210.69 and 8,006.49 is: 12,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.42 : 34,210.69 = 8,006.49 : x
  2. Step 2: Convert to fraction form
    22,796.42/34,210.69 = 8,006.49/x
  3. Step 3: Cross multiply
    22,796.42x = 34,210.69 × 8,006.49
  4. Step 4: Simplify right side
    22,796.42x = 273,907,547.38
  5. Step 5: Solve for x
    x = 273,907,547.38/22,796.42
  6. Step 6: Final answer
    x = 12,015.38

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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.