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Finding the Fourth Proportional to 16,529.22, 24,772.74 and 7,744.77

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Solution

The fourth proportional to 16,529.22, 24,772.74 and 7,744.77 is: 11,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,529.22 : 24,772.74 = 7,744.77 : x
  2. Step 2: Convert to fraction form
    16,529.22/24,772.74 = 7,744.77/x
  3. Step 3: Cross multiply
    16,529.22x = 24,772.74 × 7,744.77
  4. Step 4: Simplify right side
    16,529.22x = 191,859,173.57
  5. Step 5: Solve for x
    x = 191,859,173.57/16,529.22
  6. Step 6: Final answer
    x = 11,607.27

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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.