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Finding the Fourth Proportional to 23,105.53, 34,654.12 and 6,461.45

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Solution

The fourth proportional to 23,105.53, 34,654.12 and 6,461.45 is: 9,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.53 : 34,654.12 = 6,461.45 : x
  2. Step 2: Convert to fraction form
    23,105.53/34,654.12 = 6,461.45/x
  3. Step 3: Cross multiply
    23,105.53x = 34,654.12 × 6,461.45
  4. Step 4: Simplify right side
    23,105.53x = 223,915,863.67
  5. Step 5: Solve for x
    x = 223,915,863.67/23,105.53
  6. Step 6: Final answer
    x = 9,691.01

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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.