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Finding the Fourth Proportional to 23,000.76, 34,507.42 and 8,211.17

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Solution

The fourth proportional to 23,000.76, 34,507.42 and 8,211.17 is: 12,319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.76 : 34,507.42 = 8,211.17 : x
  2. Step 2: Convert to fraction form
    23,000.76/34,507.42 = 8,211.17/x
  3. Step 3: Cross multiply
    23,000.76x = 34,507.42 × 8,211.17
  4. Step 4: Simplify right side
    23,000.76x = 283,346,357.62
  5. Step 5: Solve for x
    x = 283,346,357.62/23,000.76
  6. Step 6: Final answer
    x = 12,319.00

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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.