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Finding the Fourth Proportional to 22,825.96, 34,237.14 and 7,243.72

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Solution

The fourth proportional to 22,825.96, 34,237.14 and 7,243.72 is: 10,865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,825.96 : 34,237.14 = 7,243.72 : x
  2. Step 2: Convert to fraction form
    22,825.96/34,237.14 = 7,243.72/x
  3. Step 3: Cross multiply
    22,825.96x = 34,237.14 × 7,243.72
  4. Step 4: Simplify right side
    22,825.96x = 248,004,255.76
  5. Step 5: Solve for x
    x = 248,004,255.76/22,825.96
  6. Step 6: Final answer
    x = 10,865.01

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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.