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Finding the Fourth Proportional to 12,703.44, 17,519.92 and 10,046.24

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Solution

The fourth proportional to 12,703.44, 17,519.92 and 10,046.24 is: 13,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.44 : 17,519.92 = 10,046.24 : x
  2. Step 2: Convert to fraction form
    12,703.44/17,519.92 = 10,046.24/x
  3. Step 3: Cross multiply
    12,703.44x = 17,519.92 × 10,046.24
  4. Step 4: Simplify right side
    12,703.44x = 176,009,321.10
  5. Step 5: Solve for x
    x = 176,009,321.10/12,703.44
  6. Step 6: Final answer
    x = 13,855.25

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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.