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Finding the Fourth Proportional to 17,149.57, 23,663.57 and 10,077.36

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Solution

The fourth proportional to 17,149.57, 23,663.57 and 10,077.36 is: 13,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.57 : 23,663.57 = 10,077.36 : x
  2. Step 2: Convert to fraction form
    17,149.57/23,663.57 = 10,077.36/x
  3. Step 3: Cross multiply
    17,149.57x = 23,663.57 × 10,077.36
  4. Step 4: Simplify right side
    17,149.57x = 238,466,336.10
  5. Step 5: Solve for x
    x = 238,466,336.10/17,149.57
  6. Step 6: Final answer
    x = 13,905.09

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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.