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Finding the Fourth Proportional to 12,662.29, 18,991.67 and 4,342.17

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Solution

The fourth proportional to 12,662.29, 18,991.67 and 4,342.17 is: 6,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.29 : 18,991.67 = 4,342.17 : x
  2. Step 2: Convert to fraction form
    12,662.29/18,991.67 = 4,342.17/x
  3. Step 3: Cross multiply
    12,662.29x = 18,991.67 × 4,342.17
  4. Step 4: Simplify right side
    12,662.29x = 82,465,038.01
  5. Step 5: Solve for x
    x = 82,465,038.01/12,662.29
  6. Step 6: Final answer
    x = 6,512.65

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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.