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Finding the Fourth Proportional to 17,051.80, 23,531.40 and 9,976.84

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Solution

The fourth proportional to 17,051.80, 23,531.40 and 9,976.84 is: 13,767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,051.80 : 23,531.40 = 9,976.84 : x
  2. Step 2: Convert to fraction form
    17,051.80/23,531.40 = 9,976.84/x
  3. Step 3: Cross multiply
    17,051.80x = 23,531.40 × 9,976.84
  4. Step 4: Simplify right side
    17,051.80x = 234,769,012.78
  5. Step 5: Solve for x
    x = 234,769,012.78/17,051.80
  6. Step 6: Final answer
    x = 13,767.99

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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.