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Finding the Fourth Proportional to 12,777.69, 19,166.71 and 4,012.61

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Solution

The fourth proportional to 12,777.69, 19,166.71 and 4,012.61 is: 6,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.69 : 19,166.71 = 4,012.61 : x
  2. Step 2: Convert to fraction form
    12,777.69/19,166.71 = 4,012.61/x
  3. Step 3: Cross multiply
    12,777.69x = 19,166.71 × 4,012.61
  4. Step 4: Simplify right side
    12,777.69x = 76,908,532.21
  5. Step 5: Solve for x
    x = 76,908,532.21/12,777.69
  6. Step 6: Final answer
    x = 6,018.97

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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.