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Finding the Fourth Proportional to 17,316.10, 23,896.14 and 9,764.26

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Solution

The fourth proportional to 17,316.10, 23,896.14 and 9,764.26 is: 13,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,316.10 : 23,896.14 = 9,764.26 : x
  2. Step 2: Convert to fraction form
    17,316.10/23,896.14 = 9,764.26/x
  3. Step 3: Cross multiply
    17,316.10x = 23,896.14 × 9,764.26
  4. Step 4: Simplify right side
    17,316.10x = 233,328,123.96
  5. Step 5: Solve for x
    x = 233,328,123.96/17,316.10
  6. Step 6: Final answer
    x = 13,474.63

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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.