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Finding the Fourth Proportional to 16,577.28, 24,859.92 and 7,216.80

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Solution

The fourth proportional to 16,577.28, 24,859.92 and 7,216.80 is: 10,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.28 : 24,859.92 = 7,216.80 : x
  2. Step 2: Convert to fraction form
    16,577.28/24,859.92 = 7,216.80/x
  3. Step 3: Cross multiply
    16,577.28x = 24,859.92 × 7,216.80
  4. Step 4: Simplify right side
    16,577.28x = 179,409,070.66
  5. Step 5: Solve for x
    x = 179,409,070.66/16,577.28
  6. Step 6: Final answer
    x = 10,822.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.