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Finding the Fourth Proportional to 19,716.59, 29,541.47 and 11,909

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Solution

The fourth proportional to 19,716.59, 29,541.47 and 11,909 is: 17,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716.59 : 29,541.47 = 11,909 : x
  2. Step 2: Convert to fraction form
    19,716.59/29,541.47 = 11,909/x
  3. Step 3: Cross multiply
    19,716.59x = 29,541.47 × 11,909
  4. Step 4: Simplify right side
    19,716.59x = 351,809,366.23
  5. Step 5: Solve for x
    x = 351,809,366.23/19,716.59
  6. Step 6: Final answer
    x = 17,843.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.