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Finding the Fourth Proportional to 14,932.85, 20,608.72 and 8,219.84

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Solution

The fourth proportional to 14,932.85, 20,608.72 and 8,219.84 is: 11,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932.85 : 20,608.72 = 8,219.84 : x
  2. Step 2: Convert to fraction form
    14,932.85/20,608.72 = 8,219.84/x
  3. Step 3: Cross multiply
    14,932.85x = 20,608.72 × 8,219.84
  4. Step 4: Simplify right side
    14,932.85x = 169,400,411.98
  5. Step 5: Solve for x
    x = 169,400,411.98/14,932.85
  6. Step 6: Final answer
    x = 11,344.14

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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.