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Finding the Fourth Proportional to 20,646.24, 28,491.82 and 11,215

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Solution

The fourth proportional to 20,646.24, 28,491.82 and 11,215 is: 15,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.24 : 28,491.82 = 11,215 : x
  2. Step 2: Convert to fraction form
    20,646.24/28,491.82 = 11,215/x
  3. Step 3: Cross multiply
    20,646.24x = 28,491.82 × 11,215
  4. Step 4: Simplify right side
    20,646.24x = 319,535,761.30
  5. Step 5: Solve for x
    x = 319,535,761.30/20,646.24
  6. Step 6: Final answer
    x = 15,476.70

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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.