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Finding the Fourth Proportional to 22,709.25, 34,059.84 and 6,910.47

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Solution

The fourth proportional to 22,709.25, 34,059.84 and 6,910.47 is: 10,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.25 : 34,059.84 = 6,910.47 : x
  2. Step 2: Convert to fraction form
    22,709.25/34,059.84 = 6,910.47/x
  3. Step 3: Cross multiply
    22,709.25x = 34,059.84 × 6,910.47
  4. Step 4: Simplify right side
    22,709.25x = 235,369,502.52
  5. Step 5: Solve for x
    x = 235,369,502.52/22,709.25
  6. Step 6: Final answer
    x = 10,364.48

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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.