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Finding the Fourth Proportional to 17,284.57, 23,854.50 and 10,574.66

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Solution

The fourth proportional to 17,284.57, 23,854.50 and 10,574.66 is: 14,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.57 : 23,854.50 = 10,574.66 : x
  2. Step 2: Convert to fraction form
    17,284.57/23,854.50 = 10,574.66/x
  3. Step 3: Cross multiply
    17,284.57x = 23,854.50 × 10,574.66
  4. Step 4: Simplify right side
    17,284.57x = 252,253,226.97
  5. Step 5: Solve for x
    x = 252,253,226.97/17,284.57
  6. Step 6: Final answer
    x = 14,594.13

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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.