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Finding the Fourth Proportional to 17,577, 24,252.33 and 10,772.46

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Solution

The fourth proportional to 17,577, 24,252.33 and 10,772.46 is: 14,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577 : 24,252.33 = 10,772.46 : x
  2. Step 2: Convert to fraction form
    17,577/24,252.33 = 10,772.46/x
  3. Step 3: Cross multiply
    17,577x = 24,252.33 × 10,772.46
  4. Step 4: Simplify right side
    17,577x = 261,257,254.83
  5. Step 5: Solve for x
    x = 261,257,254.83/17,577
  6. Step 6: Final answer
    x = 14,863.59

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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.