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Finding the Fourth Proportional to 16,529.46, 24,790.95 and 6,138.78

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Solution

The fourth proportional to 16,529.46, 24,790.95 and 6,138.78 is: 9,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,529.46 : 24,790.95 = 6,138.78 : x
  2. Step 2: Convert to fraction form
    16,529.46/24,790.95 = 6,138.78/x
  3. Step 3: Cross multiply
    16,529.46x = 24,790.95 × 6,138.78
  4. Step 4: Simplify right side
    16,529.46x = 152,186,188.04
  5. Step 5: Solve for x
    x = 152,186,188.04/16,529.46
  6. Step 6: Final answer
    x = 9,206.97

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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.