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Finding the Fourth Proportional to 30,146.30, 41,598 and 16,717.44

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Solution

The fourth proportional to 30,146.30, 41,598 and 16,717.44 is: 23,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.30 : 41,598 = 16,717.44 : x
  2. Step 2: Convert to fraction form
    30,146.30/41,598 = 16,717.44/x
  3. Step 3: Cross multiply
    30,146.30x = 41,598 × 16,717.44
  4. Step 4: Simplify right side
    30,146.30x = 695,412,069.12
  5. Step 5: Solve for x
    x = 695,412,069.12/30,146.30
  6. Step 6: Final answer
    x = 23,067.91

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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.