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Finding the Fourth Proportional to 16,701.50, 23,048.34 and 9,147.70

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Solution

The fourth proportional to 16,701.50, 23,048.34 and 9,147.70 is: 12,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,701.50 : 23,048.34 = 9,147.70 : x
  2. Step 2: Convert to fraction form
    16,701.50/23,048.34 = 9,147.70/x
  3. Step 3: Cross multiply
    16,701.50x = 23,048.34 × 9,147.70
  4. Step 4: Simplify right side
    16,701.50x = 210,839,299.82
  5. Step 5: Solve for x
    x = 210,839,299.82/16,701.50
  6. Step 6: Final answer
    x = 12,623.97

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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.