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Finding the Fourth Proportional to 16,885.80, 23,297.76 and 9,715.41

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Solution

The fourth proportional to 16,885.80, 23,297.76 and 9,715.41 is: 13,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,885.80 : 23,297.76 = 9,715.41 : x
  2. Step 2: Convert to fraction form
    16,885.80/23,297.76 = 9,715.41/x
  3. Step 3: Cross multiply
    16,885.80x = 23,297.76 × 9,715.41
  4. Step 4: Simplify right side
    16,885.80x = 226,347,290.48
  5. Step 5: Solve for x
    x = 226,347,290.48/16,885.80
  6. Step 6: Final answer
    x = 13,404.59

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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.