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Finding the Fourth Proportional to 23,269.74, 34,896.30 and 7,471.50

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Solution

The fourth proportional to 23,269.74, 34,896.30 and 7,471.50 is: 11,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,269.74 : 34,896.30 = 7,471.50 : x
  2. Step 2: Convert to fraction form
    23,269.74/34,896.30 = 7,471.50/x
  3. Step 3: Cross multiply
    23,269.74x = 34,896.30 × 7,471.50
  4. Step 4: Simplify right side
    23,269.74x = 260,727,705.45
  5. Step 5: Solve for x
    x = 260,727,705.45/23,269.74
  6. Step 6: Final answer
    x = 11,204.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.