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Finding the Fourth Proportional to 23,105.88, 34,661.04 and 6,465.96

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Solution

The fourth proportional to 23,105.88, 34,661.04 and 6,465.96 is: 9,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.88 : 34,661.04 = 6,465.96 : x
  2. Step 2: Convert to fraction form
    23,105.88/34,661.04 = 6,465.96/x
  3. Step 3: Cross multiply
    23,105.88x = 34,661.04 × 6,465.96
  4. Step 4: Simplify right side
    23,105.88x = 224,116,898.20
  5. Step 5: Solve for x
    x = 224,116,898.20/23,105.88
  6. Step 6: Final answer
    x = 9,699.56

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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.