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Finding the Fourth Proportional to 22,857.51, 34,287.01 and 7,864.47

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Solution

The fourth proportional to 22,857.51, 34,287.01 and 7,864.47 is: 11,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.51 : 34,287.01 = 7,864.47 : x
  2. Step 2: Convert to fraction form
    22,857.51/34,287.01 = 7,864.47/x
  3. Step 3: Cross multiply
    22,857.51x = 34,287.01 × 7,864.47
  4. Step 4: Simplify right side
    22,857.51x = 269,649,161.53
  5. Step 5: Solve for x
    x = 269,649,161.53/22,857.51
  6. Step 6: Final answer
    x = 11,796.96

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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.