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Finding the Fourth Proportional to 12,142.58, 18,219.63 and 7,221.92

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Solution

The fourth proportional to 12,142.58, 18,219.63 and 7,221.92 is: 10,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.58 : 18,219.63 = 7,221.92 : x
  2. Step 2: Convert to fraction form
    12,142.58/18,219.63 = 7,221.92/x
  3. Step 3: Cross multiply
    12,142.58x = 18,219.63 × 7,221.92
  4. Step 4: Simplify right side
    12,142.58x = 131,580,710.29
  5. Step 5: Solve for x
    x = 131,580,710.29/12,142.58
  6. Step 6: Final answer
    x = 10,836.31

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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.