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Finding the Fourth Proportional to 22,656.51, 33,954.69 and 10,174.21

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Solution

The fourth proportional to 22,656.51, 33,954.69 and 10,174.21 is: 15,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.51 : 33,954.69 = 10,174.21 : x
  2. Step 2: Convert to fraction form
    22,656.51/33,954.69 = 10,174.21/x
  3. Step 3: Cross multiply
    22,656.51x = 33,954.69 × 10,174.21
  4. Step 4: Simplify right side
    22,656.51x = 345,462,099.81
  5. Step 5: Solve for x
    x = 345,462,099.81/22,656.51
  6. Step 6: Final answer
    x = 15,247.81

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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.