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Finding the Fourth Proportional to 31,713, 43,763.94 and 17,566.76

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Solution

The fourth proportional to 31,713, 43,763.94 and 17,566.76 is: 24,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713 : 43,763.94 = 17,566.76 : x
  2. Step 2: Convert to fraction form
    31,713/43,763.94 = 17,566.76/x
  3. Step 3: Cross multiply
    31,713x = 43,763.94 × 17,566.76
  4. Step 4: Simplify right side
    31,713x = 768,790,630.63
  5. Step 5: Solve for x
    x = 768,790,630.63/31,713
  6. Step 6: Final answer
    x = 24,242.13

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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.