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Finding the Fourth Proportional to 12,184.75, 18,277.22 and 2,950.75

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Solution

The fourth proportional to 12,184.75, 18,277.22 and 2,950.75 is: 4,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.75 : 18,277.22 = 2,950.75 : x
  2. Step 2: Convert to fraction form
    12,184.75/18,277.22 = 2,950.75/x
  3. Step 3: Cross multiply
    12,184.75x = 18,277.22 × 2,950.75
  4. Step 4: Simplify right side
    12,184.75x = 53,931,506.92
  5. Step 5: Solve for x
    x = 53,931,506.92/12,184.75
  6. Step 6: Final answer
    x = 4,426.15

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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.