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Finding the Fourth Proportional to 12,312.72, 16,991.70 and 6,723.72

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Solution

The fourth proportional to 12,312.72, 16,991.70 and 6,723.72 is: 9,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.72 : 16,991.70 = 6,723.72 : x
  2. Step 2: Convert to fraction form
    12,312.72/16,991.70 = 6,723.72/x
  3. Step 3: Cross multiply
    12,312.72x = 16,991.70 × 6,723.72
  4. Step 4: Simplify right side
    12,312.72x = 114,247,433.12
  5. Step 5: Solve for x
    x = 114,247,433.12/12,312.72
  6. Step 6: Final answer
    x = 9,278.81

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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.