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Finding the Fourth Proportional to 29,138.76, 40,202.10 and 17,206.08

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Solution

The fourth proportional to 29,138.76, 40,202.10 and 17,206.08 is: 23,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138.76 : 40,202.10 = 17,206.08 : x
  2. Step 2: Convert to fraction form
    29,138.76/40,202.10 = 17,206.08/x
  3. Step 3: Cross multiply
    29,138.76x = 40,202.10 × 17,206.08
  4. Step 4: Simplify right side
    29,138.76x = 691,720,548.77
  5. Step 5: Solve for x
    x = 691,720,548.77/29,138.76
  6. Step 6: Final answer
    x = 23,738.85

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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.