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Finding the Fourth Proportional to 12,111.87, 18,165.24 and 7,110.93

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Solution

The fourth proportional to 12,111.87, 18,165.24 and 7,110.93 is: 10,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.87 : 18,165.24 = 7,110.93 : x
  2. Step 2: Convert to fraction form
    12,111.87/18,165.24 = 7,110.93/x
  3. Step 3: Cross multiply
    12,111.87x = 18,165.24 × 7,110.93
  4. Step 4: Simplify right side
    12,111.87x = 129,171,750.07
  5. Step 5: Solve for x
    x = 129,171,750.07/12,111.87
  6. Step 6: Final answer
    x = 10,664.89

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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.