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Finding the Fourth Proportional to 17,311.71, 23,890.20 and 9,758.07

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Solution

The fourth proportional to 17,311.71, 23,890.20 and 9,758.07 is: 13,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.71 : 23,890.20 = 9,758.07 : x
  2. Step 2: Convert to fraction form
    17,311.71/23,890.20 = 9,758.07/x
  3. Step 3: Cross multiply
    17,311.71x = 23,890.20 × 9,758.07
  4. Step 4: Simplify right side
    17,311.71x = 233,122,243.91
  5. Step 5: Solve for x
    x = 233,122,243.91/17,311.71
  6. Step 6: Final answer
    x = 13,466.16

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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.