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Finding the Fourth Proportional to 17,221.12, 25,829.52 and 6,822.88

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Solution

The fourth proportional to 17,221.12, 25,829.52 and 6,822.88 is: 10,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.12 : 25,829.52 = 6,822.88 : x
  2. Step 2: Convert to fraction form
    17,221.12/25,829.52 = 6,822.88/x
  3. Step 3: Cross multiply
    17,221.12x = 25,829.52 × 6,822.88
  4. Step 4: Simplify right side
    17,221.12x = 176,231,715.42
  5. Step 5: Solve for x
    x = 176,231,715.42/17,221.12
  6. Step 6: Final answer
    x = 10,233.46

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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.