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Finding the Fourth Proportional to 12,112.71, 18,142.69 and 5,859.53

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Solution

The fourth proportional to 12,112.71, 18,142.69 and 5,859.53 is: 8,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.71 : 18,142.69 = 5,859.53 : x
  2. Step 2: Convert to fraction form
    12,112.71/18,142.69 = 5,859.53/x
  3. Step 3: Cross multiply
    12,112.71x = 18,142.69 × 5,859.53
  4. Step 4: Simplify right side
    12,112.71x = 106,307,607.04
  5. Step 5: Solve for x
    x = 106,307,607.04/12,112.71
  6. Step 6: Final answer
    x = 8,776.53

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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.