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Finding the Fourth Proportional to 12,727.62, 19,096.29 and 7,187.22

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Solution

The fourth proportional to 12,727.62, 19,096.29 and 7,187.22 is: 10,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.62 : 19,096.29 = 7,187.22 : x
  2. Step 2: Convert to fraction form
    12,727.62/19,096.29 = 7,187.22/x
  3. Step 3: Cross multiply
    12,727.62x = 19,096.29 × 7,187.22
  4. Step 4: Simplify right side
    12,727.62x = 137,249,237.41
  5. Step 5: Solve for x
    x = 137,249,237.41/12,727.62
  6. Step 6: Final answer
    x = 10,783.57

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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.