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Finding the Fourth Proportional to 34,098.66, 51,146.78 and 11,911.95

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Solution

The fourth proportional to 34,098.66, 51,146.78 and 11,911.95 is: 17,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098.66 : 51,146.78 = 11,911.95 : x
  2. Step 2: Convert to fraction form
    34,098.66/51,146.78 = 11,911.95/x
  3. Step 3: Cross multiply
    34,098.66x = 51,146.78 × 11,911.95
  4. Step 4: Simplify right side
    34,098.66x = 609,257,826.46
  5. Step 5: Solve for x
    x = 609,257,826.46/34,098.66
  6. Step 6: Final answer
    x = 17,867.50

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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.