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Finding the Fourth Proportional to 17,458.16, 24,091.80 and 10,288.74

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Solution

The fourth proportional to 17,458.16, 24,091.80 and 10,288.74 is: 14,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.16 : 24,091.80 = 10,288.74 : x
  2. Step 2: Convert to fraction form
    17,458.16/24,091.80 = 10,288.74/x
  3. Step 3: Cross multiply
    17,458.16x = 24,091.80 × 10,288.74
  4. Step 4: Simplify right side
    17,458.16x = 247,874,266.33
  5. Step 5: Solve for x
    x = 247,874,266.33/17,458.16
  6. Step 6: Final answer
    x = 14,198.19

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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.