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Finding the Fourth Proportional to 17,129.82, 23,642.24 and 10,056.63

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Solution

The fourth proportional to 17,129.82, 23,642.24 and 10,056.63 is: 13,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129.82 : 23,642.24 = 10,056.63 : x
  2. Step 2: Convert to fraction form
    17,129.82/23,642.24 = 10,056.63/x
  3. Step 3: Cross multiply
    17,129.82x = 23,642.24 × 10,056.63
  4. Step 4: Simplify right side
    17,129.82x = 237,761,209.77
  5. Step 5: Solve for x
    x = 237,761,209.77/17,129.82
  6. Step 6: Final answer
    x = 13,879.96

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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.