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Finding the Fourth Proportional to 12,290.27, 16,956.47 and 7,184.57

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Solution

The fourth proportional to 12,290.27, 16,956.47 and 7,184.57 is: 9,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.27 : 16,956.47 = 7,184.57 : x
  2. Step 2: Convert to fraction form
    12,290.27/16,956.47 = 7,184.57/x
  3. Step 3: Cross multiply
    12,290.27x = 16,956.47 × 7,184.57
  4. Step 4: Simplify right side
    12,290.27x = 121,824,878.85
  5. Step 5: Solve for x
    x = 121,824,878.85/12,290.27
  6. Step 6: Final answer
    x = 9,912.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.