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Finding the Fourth Proportional to 23,459.31, 35,167.10 and 7,866

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Solution

The fourth proportional to 23,459.31, 35,167.10 and 7,866 is: 11,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,459.31 : 35,167.10 = 7,866 : x
  2. Step 2: Convert to fraction form
    23,459.31/35,167.10 = 7,866/x
  3. Step 3: Cross multiply
    23,459.31x = 35,167.10 × 7,866
  4. Step 4: Simplify right side
    23,459.31x = 276,624,369.27
  5. Step 5: Solve for x
    x = 276,624,369.27/23,459.31
  6. Step 6: Final answer
    x = 11,791.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.