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Finding the Fourth Proportional to 20,645.24, 28,490.44 and 11,214

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Solution

The fourth proportional to 20,645.24, 28,490.44 and 11,214 is: 15,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.24 : 28,490.44 = 11,214 : x
  2. Step 2: Convert to fraction form
    20,645.24/28,490.44 = 11,214/x
  3. Step 3: Cross multiply
    20,645.24x = 28,490.44 × 11,214
  4. Step 4: Simplify right side
    20,645.24x = 319,491,794.16
  5. Step 5: Solve for x
    x = 319,491,794.16/20,645.24
  6. Step 6: Final answer
    x = 15,475.32

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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.