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Finding the Fourth Proportional to 12,817.80, 19,227.88 and 4,054

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Solution

The fourth proportional to 12,817.80, 19,227.88 and 4,054 is: 6,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.80 : 19,227.88 = 4,054 : x
  2. Step 2: Convert to fraction form
    12,817.80/19,227.88 = 4,054/x
  3. Step 3: Cross multiply
    12,817.80x = 19,227.88 × 4,054
  4. Step 4: Simplify right side
    12,817.80x = 77,949,825.52
  5. Step 5: Solve for x
    x = 77,949,825.52/12,817.80
  6. Step 6: Final answer
    x = 6,081.37

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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.