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Finding the Fourth Proportional to 29,706.75, 40,996.53 and 17,131.50

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Solution

The fourth proportional to 29,706.75, 40,996.53 and 17,131.50 is: 23,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.75 : 40,996.53 = 17,131.50 : x
  2. Step 2: Convert to fraction form
    29,706.75/40,996.53 = 17,131.50/x
  3. Step 3: Cross multiply
    29,706.75x = 40,996.53 × 17,131.50
  4. Step 4: Simplify right side
    29,706.75x = 702,332,053.70
  5. Step 5: Solve for x
    x = 702,332,053.70/29,706.75
  6. Step 6: Final answer
    x = 23,642.17

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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.