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Finding the Fourth Proportional to 16,883.72, 23,294.42 and 9,808.76

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Solution

The fourth proportional to 16,883.72, 23,294.42 and 9,808.76 is: 13,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,883.72 : 23,294.42 = 9,808.76 : x
  2. Step 2: Convert to fraction form
    16,883.72/23,294.42 = 9,808.76/x
  3. Step 3: Cross multiply
    16,883.72x = 23,294.42 × 9,808.76
  4. Step 4: Simplify right side
    16,883.72x = 228,489,375.12
  5. Step 5: Solve for x
    x = 228,489,375.12/16,883.72
  6. Step 6: Final answer
    x = 13,533.12

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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.