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Finding the Fourth Proportional to 22,709.21, 34,059.75 and 6,910.40

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Solution

The fourth proportional to 22,709.21, 34,059.75 and 6,910.40 is: 10,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.21 : 34,059.75 = 6,910.40 : x
  2. Step 2: Convert to fraction form
    22,709.21/34,059.75 = 6,910.40/x
  3. Step 3: Cross multiply
    22,709.21x = 34,059.75 × 6,910.40
  4. Step 4: Simplify right side
    22,709.21x = 235,366,581.55
  5. Step 5: Solve for x
    x = 235,366,581.55/22,709.21
  6. Step 6: Final answer
    x = 10,364.37

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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.