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Finding the Fourth Proportional to 29,738.34, 41,038.86 and 17,163.08

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Solution

The fourth proportional to 29,738.34, 41,038.86 and 17,163.08 is: 23,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738.34 : 41,038.86 = 17,163.08 : x
  2. Step 2: Convert to fraction form
    29,738.34/41,038.86 = 17,163.08/x
  3. Step 3: Cross multiply
    29,738.34x = 41,038.86 × 17,163.08
  4. Step 4: Simplify right side
    29,738.34x = 704,353,237.29
  5. Step 5: Solve for x
    x = 704,353,237.29/29,738.34
  6. Step 6: Final answer
    x = 23,685.02

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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.