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Finding the Fourth Proportional to 12,119.40, 18,188.81 and 6,277.68

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Solution

The fourth proportional to 12,119.40, 18,188.81 and 6,277.68 is: 9,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.40 : 18,188.81 = 6,277.68 : x
  2. Step 2: Convert to fraction form
    12,119.40/18,188.81 = 6,277.68/x
  3. Step 3: Cross multiply
    12,119.40x = 18,188.81 × 6,277.68
  4. Step 4: Simplify right side
    12,119.40x = 114,183,528.76
  5. Step 5: Solve for x
    x = 114,183,528.76/12,119.40
  6. Step 6: Final answer
    x = 9,421.55

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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.