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Finding the Fourth Proportional to 34,469.69, 51,691.77 and 12,277.17

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Solution

The fourth proportional to 34,469.69, 51,691.77 and 12,277.17 is: 18,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,469.69 : 51,691.77 = 12,277.17 : x
  2. Step 2: Convert to fraction form
    34,469.69/51,691.77 = 12,277.17/x
  3. Step 3: Cross multiply
    34,469.69x = 51,691.77 × 12,277.17
  4. Step 4: Simplify right side
    34,469.69x = 634,628,647.89
  5. Step 5: Solve for x
    x = 634,628,647.89/34,469.69
  6. Step 6: Final answer
    x = 18,411.21

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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.