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Finding the Fourth Proportional to 14,473.56, 21,708.92 and 9,823.44

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Solution

The fourth proportional to 14,473.56, 21,708.92 and 9,823.44 is: 14,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.56 : 21,708.92 = 9,823.44 : x
  2. Step 2: Convert to fraction form
    14,473.56/21,708.92 = 9,823.44/x
  3. Step 3: Cross multiply
    14,473.56x = 21,708.92 × 9,823.44
  4. Step 4: Simplify right side
    14,473.56x = 213,256,273.08
  5. Step 5: Solve for x
    x = 213,256,273.08/14,473.56
  6. Step 6: Final answer
    x = 14,734.20

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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.