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Finding the Fourth Proportional to 23,005, 34,487.01 and 8,961.74

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Solution

The fourth proportional to 23,005, 34,487.01 and 8,961.74 is: 13,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005 : 34,487.01 = 8,961.74 : x
  2. Step 2: Convert to fraction form
    23,005/34,487.01 = 8,961.74/x
  3. Step 3: Cross multiply
    23,005x = 34,487.01 × 8,961.74
  4. Step 4: Simplify right side
    23,005x = 309,063,617.00
  5. Step 5: Solve for x
    x = 309,063,617.00/23,005
  6. Step 6: Final answer
    x = 13,434.63

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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.