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Finding the Fourth Proportional to 22,720.75, 34,082.34 and 7,139.59

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Solution

The fourth proportional to 22,720.75, 34,082.34 and 7,139.59 is: 10,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720.75 : 34,082.34 = 7,139.59 : x
  2. Step 2: Convert to fraction form
    22,720.75/34,082.34 = 7,139.59/x
  3. Step 3: Cross multiply
    22,720.75x = 34,082.34 × 7,139.59
  4. Step 4: Simplify right side
    22,720.75x = 243,333,933.84
  5. Step 5: Solve for x
    x = 243,333,933.84/22,720.75
  6. Step 6: Final answer
    x = 10,709.77

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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.