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Finding the Fourth Proportional to 12,471.20, 18,682.80 and 9,824.70

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Solution

The fourth proportional to 12,471.20, 18,682.80 and 9,824.70 is: 14,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.20 : 18,682.80 = 9,824.70 : x
  2. Step 2: Convert to fraction form
    12,471.20/18,682.80 = 9,824.70/x
  3. Step 3: Cross multiply
    12,471.20x = 18,682.80 × 9,824.70
  4. Step 4: Simplify right side
    12,471.20x = 183,552,905.16
  5. Step 5: Solve for x
    x = 183,552,905.16/12,471.20
  6. Step 6: Final answer
    x = 14,718.14

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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.