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Finding the Fourth Proportional to 31,314.16, 43,213.52 and 17,166.98

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Solution

The fourth proportional to 31,314.16, 43,213.52 and 17,166.98 is: 23,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.16 : 43,213.52 = 17,166.98 : x
  2. Step 2: Convert to fraction form
    31,314.16/43,213.52 = 17,166.98/x
  3. Step 3: Cross multiply
    31,314.16x = 43,213.52 × 17,166.98
  4. Step 4: Simplify right side
    31,314.16x = 741,845,633.57
  5. Step 5: Solve for x
    x = 741,845,633.57/31,314.16
  6. Step 6: Final answer
    x = 23,690.42

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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.