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Finding the Fourth Proportional to 23,105.82, 31,887 and 13,034.64

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Solution

The fourth proportional to 23,105.82, 31,887 and 13,034.64 is: 17,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.82 : 31,887 = 13,034.64 : x
  2. Step 2: Convert to fraction form
    23,105.82/31,887 = 13,034.64/x
  3. Step 3: Cross multiply
    23,105.82x = 31,887 × 13,034.64
  4. Step 4: Simplify right side
    23,105.82x = 415,635,565.68
  5. Step 5: Solve for x
    x = 415,635,565.68/23,105.82
  6. Step 6: Final answer
    x = 17,988.35

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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.