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Finding the Fourth Proportional to 29,728, 41,023.40 and 17,798

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Solution

The fourth proportional to 29,728, 41,023.40 and 17,798 is: 24,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,728 : 41,023.40 = 17,798 : x
  2. Step 2: Convert to fraction form
    29,728/41,023.40 = 17,798/x
  3. Step 3: Cross multiply
    29,728x = 41,023.40 × 17,798
  4. Step 4: Simplify right side
    29,728x = 730,134,473.20
  5. Step 5: Solve for x
    x = 730,134,473.20/29,728
  6. Step 6: Final answer
    x = 24,560.50

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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.