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Finding the Fourth Proportional to 31,663.51, 43,695.09 and 17,516.34

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Solution

The fourth proportional to 31,663.51, 43,695.09 and 17,516.34 is: 24,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663.51 : 43,695.09 = 17,516.34 : x
  2. Step 2: Convert to fraction form
    31,663.51/43,695.09 = 17,516.34/x
  3. Step 3: Cross multiply
    31,663.51x = 43,695.09 × 17,516.34
  4. Step 4: Simplify right side
    31,663.51x = 765,378,052.77
  5. Step 5: Solve for x
    x = 765,378,052.77/31,663.51
  6. Step 6: Final answer
    x = 24,172.24

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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.