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Finding the Fourth Proportional to 34,516.12, 51,768.11 and 9,215.95

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Solution

The fourth proportional to 34,516.12, 51,768.11 and 9,215.95 is: 13,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,516.12 : 51,768.11 = 9,215.95 : x
  2. Step 2: Convert to fraction form
    34,516.12/51,768.11 = 9,215.95/x
  3. Step 3: Cross multiply
    34,516.12x = 51,768.11 × 9,215.95
  4. Step 4: Simplify right side
    34,516.12x = 477,092,267.27
  5. Step 5: Solve for x
    x = 477,092,267.27/34,516.12
  6. Step 6: Final answer
    x = 13,822.30

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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.