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Finding the Fourth Proportional to 16,769.91, 23,142.06 and 9,113.07

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Solution

The fourth proportional to 16,769.91, 23,142.06 and 9,113.07 is: 12,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769.91 : 23,142.06 = 9,113.07 : x
  2. Step 2: Convert to fraction form
    16,769.91/23,142.06 = 9,113.07/x
  3. Step 3: Cross multiply
    16,769.91x = 23,142.06 × 9,113.07
  4. Step 4: Simplify right side
    16,769.91x = 210,895,212.72
  5. Step 5: Solve for x
    x = 210,895,212.72/16,769.91
  6. Step 6: Final answer
    x = 12,575.81

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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.