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Finding the Fourth Proportional to 16,971.96, 23,421.42 and 9,898.68

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Solution

The fourth proportional to 16,971.96, 23,421.42 and 9,898.68 is: 13,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.96 : 23,421.42 = 9,898.68 : x
  2. Step 2: Convert to fraction form
    16,971.96/23,421.42 = 9,898.68/x
  3. Step 3: Cross multiply
    16,971.96x = 23,421.42 × 9,898.68
  4. Step 4: Simplify right side
    16,971.96x = 231,841,141.73
  5. Step 5: Solve for x
    x = 231,841,141.73/16,971.96
  6. Step 6: Final answer
    x = 13,660.25

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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.