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Finding the Fourth Proportional to 22,803.86, 31,469.04 and 12,732.48

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Solution

The fourth proportional to 22,803.86, 31,469.04 and 12,732.48 is: 17,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803.86 : 31,469.04 = 12,732.48 : x
  2. Step 2: Convert to fraction form
    22,803.86/31,469.04 = 12,732.48/x
  3. Step 3: Cross multiply
    22,803.86x = 31,469.04 × 12,732.48
  4. Step 4: Simplify right side
    22,803.86x = 400,678,922.42
  5. Step 5: Solve for x
    x = 400,678,922.42/22,803.86
  6. Step 6: Final answer
    x = 17,570.66

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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.