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Finding the Fourth Proportional to 23,146.98, 34,715.01 and 6,508.59

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Solution

The fourth proportional to 23,146.98, 34,715.01 and 6,508.59 is: 9,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.98 : 34,715.01 = 6,508.59 : x
  2. Step 2: Convert to fraction form
    23,146.98/34,715.01 = 6,508.59/x
  3. Step 3: Cross multiply
    23,146.98x = 34,715.01 × 6,508.59
  4. Step 4: Simplify right side
    23,146.98x = 225,945,766.94
  5. Step 5: Solve for x
    x = 225,945,766.94/23,146.98
  6. Step 6: Final answer
    x = 9,761.35

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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.