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Finding the Fourth Proportional to 12,178.46, 16,806.30 and 6,589.46

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Solution

The fourth proportional to 12,178.46, 16,806.30 and 6,589.46 is: 9,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.46 : 16,806.30 = 6,589.46 : x
  2. Step 2: Convert to fraction form
    12,178.46/16,806.30 = 6,589.46/x
  3. Step 3: Cross multiply
    12,178.46x = 16,806.30 × 6,589.46
  4. Step 4: Simplify right side
    12,178.46x = 110,744,441.60
  5. Step 5: Solve for x
    x = 110,744,441.60/12,178.46
  6. Step 6: Final answer
    x = 9,093.47

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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.