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Finding the Fourth Proportional to 12,588.70, 17,371.42 and 7,283.91

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Solution

The fourth proportional to 12,588.70, 17,371.42 and 7,283.91 is: 10,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.70 : 17,371.42 = 7,283.91 : x
  2. Step 2: Convert to fraction form
    12,588.70/17,371.42 = 7,283.91/x
  3. Step 3: Cross multiply
    12,588.70x = 17,371.42 × 7,283.91
  4. Step 4: Simplify right side
    12,588.70x = 126,531,859.85
  5. Step 5: Solve for x
    x = 126,531,859.85/12,588.70
  6. Step 6: Final answer
    x = 10,051.23

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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.