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Finding the Fourth Proportional to 16,885.85, 23,301.73 and 9,715.46

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Solution

The fourth proportional to 16,885.85, 23,301.73 and 9,715.46 is: 13,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,885.85 : 23,301.73 = 9,715.46 : x
  2. Step 2: Convert to fraction form
    16,885.85/23,301.73 = 9,715.46/x
  3. Step 3: Cross multiply
    16,885.85x = 23,301.73 × 9,715.46
  4. Step 4: Simplify right side
    16,885.85x = 226,387,096.14
  5. Step 5: Solve for x
    x = 226,387,096.14/16,885.85
  6. Step 6: Final answer
    x = 13,406.91

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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.