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Finding the Fourth Proportional to 17,102.82, 23,601.98 and 10,029.36

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Solution

The fourth proportional to 17,102.82, 23,601.98 and 10,029.36 is: 13,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.82 : 23,601.98 = 10,029.36 : x
  2. Step 2: Convert to fraction form
    17,102.82/23,601.98 = 10,029.36/x
  3. Step 3: Cross multiply
    17,102.82x = 23,601.98 × 10,029.36
  4. Step 4: Simplify right side
    17,102.82x = 236,712,754.13
  5. Step 5: Solve for x
    x = 236,712,754.13/17,102.82
  6. Step 6: Final answer
    x = 13,840.57

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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.