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Finding the Fourth Proportional to 14,982.56, 22,473.96 and 9,821.12

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Solution

The fourth proportional to 14,982.56, 22,473.96 and 9,821.12 is: 14,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982.56 : 22,473.96 = 9,821.12 : x
  2. Step 2: Convert to fraction form
    14,982.56/22,473.96 = 9,821.12/x
  3. Step 3: Cross multiply
    14,982.56x = 22,473.96 × 9,821.12
  4. Step 4: Simplify right side
    14,982.56x = 220,719,458.04
  5. Step 5: Solve for x
    x = 220,719,458.04/14,982.56
  6. Step 6: Final answer
    x = 14,731.76

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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.