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Finding the Fourth Proportional to 17,091.83, 23,586.65 and 9,538.17

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Solution

The fourth proportional to 17,091.83, 23,586.65 and 9,538.17 is: 13,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,091.83 : 23,586.65 = 9,538.17 : x
  2. Step 2: Convert to fraction form
    17,091.83/23,586.65 = 9,538.17/x
  3. Step 3: Cross multiply
    17,091.83x = 23,586.65 × 9,538.17
  4. Step 4: Simplify right side
    17,091.83x = 224,973,429.74
  5. Step 5: Solve for x
    x = 224,973,429.74/17,091.83
  6. Step 6: Final answer
    x = 13,162.63

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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.