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Finding the Fourth Proportional to 17,642.49, 24,335.56 and 10,467.32

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Solution

The fourth proportional to 17,642.49, 24,335.56 and 10,467.32 is: 14,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.49 : 24,335.56 = 10,467.32 : x
  2. Step 2: Convert to fraction form
    17,642.49/24,335.56 = 10,467.32/x
  3. Step 3: Cross multiply
    17,642.49x = 24,335.56 × 10,467.32
  4. Step 4: Simplify right side
    17,642.49x = 254,728,128.57
  5. Step 5: Solve for x
    x = 254,728,128.57/17,642.49
  6. Step 6: Final answer
    x = 14,438.33

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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.