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Finding the Fourth Proportional to 12,378.83, 18,571.32 and 6,141.77

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Solution

The fourth proportional to 12,378.83, 18,571.32 and 6,141.77 is: 9,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.83 : 18,571.32 = 6,141.77 : x
  2. Step 2: Convert to fraction form
    12,378.83/18,571.32 = 6,141.77/x
  3. Step 3: Cross multiply
    12,378.83x = 18,571.32 × 6,141.77
  4. Step 4: Simplify right side
    12,378.83x = 114,060,776.04
  5. Step 5: Solve for x
    x = 114,060,776.04/12,378.83
  6. Step 6: Final answer
    x = 9,214.18

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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.