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Finding the Fourth Proportional to 20,643.24, 28,487.68 and 11,212

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Solution

The fourth proportional to 20,643.24, 28,487.68 and 11,212 is: 15,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.24 : 28,487.68 = 11,212 : x
  2. Step 2: Convert to fraction form
    20,643.24/28,487.68 = 11,212/x
  3. Step 3: Cross multiply
    20,643.24x = 28,487.68 × 11,212
  4. Step 4: Simplify right side
    20,643.24x = 319,403,868.16
  5. Step 5: Solve for x
    x = 319,403,868.16/20,643.24
  6. Step 6: Final answer
    x = 15,472.56

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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.