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Finding the Fourth Proportional to 17,784.63, 24,542.73 and 10,711.44

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Solution

The fourth proportional to 17,784.63, 24,542.73 and 10,711.44 is: 14,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.63 : 24,542.73 = 10,711.44 : x
  2. Step 2: Convert to fraction form
    17,784.63/24,542.73 = 10,711.44/x
  3. Step 3: Cross multiply
    17,784.63x = 24,542.73 × 10,711.44
  4. Step 4: Simplify right side
    17,784.63x = 262,887,979.83
  5. Step 5: Solve for x
    x = 262,887,979.83/17,784.63
  6. Step 6: Final answer
    x = 14,781.75

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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.