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Finding the Fourth Proportional to 22,759.41, 34,139.12 and 7,178.25

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Solution

The fourth proportional to 22,759.41, 34,139.12 and 7,178.25 is: 10,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.41 : 34,139.12 = 7,178.25 : x
  2. Step 2: Convert to fraction form
    22,759.41/34,139.12 = 7,178.25/x
  3. Step 3: Cross multiply
    22,759.41x = 34,139.12 × 7,178.25
  4. Step 4: Simplify right side
    22,759.41x = 245,059,102.25
  5. Step 5: Solve for x
    x = 245,059,102.25/22,759.41
  6. Step 6: Final answer
    x = 10,767.38

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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.