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Finding the Fourth Proportional to 17,578.32, 24,251.28 and 10,852.26

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Solution

The fourth proportional to 17,578.32, 24,251.28 and 10,852.26 is: 14,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.32 : 24,251.28 = 10,852.26 : x
  2. Step 2: Convert to fraction form
    17,578.32/24,251.28 = 10,852.26/x
  3. Step 3: Cross multiply
    17,578.32x = 24,251.28 × 10,852.26
  4. Step 4: Simplify right side
    17,578.32x = 263,181,195.89
  5. Step 5: Solve for x
    x = 263,181,195.89/17,578.32
  6. Step 6: Final answer
    x = 14,971.92

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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.