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Finding the Fourth Proportional to 22,909.07, 31,614.23 and 12,837.46

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Solution

The fourth proportional to 22,909.07, 31,614.23 and 12,837.46 is: 17,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.07 : 31,614.23 = 12,837.46 : x
  2. Step 2: Convert to fraction form
    22,909.07/31,614.23 = 12,837.46/x
  3. Step 3: Cross multiply
    22,909.07x = 31,614.23 × 12,837.46
  4. Step 4: Simplify right side
    22,909.07x = 405,846,366.11
  5. Step 5: Solve for x
    x = 405,846,366.11/22,909.07
  6. Step 6: Final answer
    x = 17,715.54

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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.