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Finding the Fourth Proportional to 12,577.34, 18,866.26 and 3,812.22

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Solution

The fourth proportional to 12,577.34, 18,866.26 and 3,812.22 is: 5,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.34 : 18,866.26 = 3,812.22 : x
  2. Step 2: Convert to fraction form
    12,577.34/18,866.26 = 3,812.22/x
  3. Step 3: Cross multiply
    12,577.34x = 18,866.26 × 3,812.22
  4. Step 4: Simplify right side
    12,577.34x = 71,922,333.70
  5. Step 5: Solve for x
    x = 71,922,333.70/12,577.34
  6. Step 6: Final answer
    x = 5,718.41

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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.