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Finding the Fourth Proportional to 17,921.76, 26,885.76 and 6,829.44

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Solution

The fourth proportional to 17,921.76, 26,885.76 and 6,829.44 is: 10,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,921.76 : 26,885.76 = 6,829.44 : x
  2. Step 2: Convert to fraction form
    17,921.76/26,885.76 = 6,829.44/x
  3. Step 3: Cross multiply
    17,921.76x = 26,885.76 × 6,829.44
  4. Step 4: Simplify right side
    17,921.76x = 183,614,684.77
  5. Step 5: Solve for x
    x = 183,614,684.77/17,921.76
  6. Step 6: Final answer
    x = 10,245.35

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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.