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Finding the Fourth Proportional to 16,706.16, 25,060.92 and 6,178.98

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Solution

The fourth proportional to 16,706.16, 25,060.92 and 6,178.98 is: 9,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.16 : 25,060.92 = 6,178.98 : x
  2. Step 2: Convert to fraction form
    16,706.16/25,060.92 = 6,178.98/x
  3. Step 3: Cross multiply
    16,706.16x = 25,060.92 × 6,178.98
  4. Step 4: Simplify right side
    16,706.16x = 154,850,923.46
  5. Step 5: Solve for x
    x = 154,850,923.46/16,706.16
  6. Step 6: Final answer
    x = 9,269.09

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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.