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Finding the Fourth Proportional to 29,716.65, 41,008.82 and 16,288.47

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Solution

The fourth proportional to 29,716.65, 41,008.82 and 16,288.47 is: 22,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,716.65 : 41,008.82 = 16,288.47 : x
  2. Step 2: Convert to fraction form
    29,716.65/41,008.82 = 16,288.47/x
  3. Step 3: Cross multiply
    29,716.65x = 41,008.82 × 16,288.47
  4. Step 4: Simplify right side
    29,716.65x = 667,970,852.86
  5. Step 5: Solve for x
    x = 667,970,852.86/29,716.65
  6. Step 6: Final answer
    x = 22,478.00

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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.