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Finding the Fourth Proportional to 22,658.09, 31,273.16 and 12,589.99

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Solution

The fourth proportional to 22,658.09, 31,273.16 and 12,589.99 is: 17,376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.09 : 31,273.16 = 12,589.99 : x
  2. Step 2: Convert to fraction form
    22,658.09/31,273.16 = 12,589.99/x
  3. Step 3: Cross multiply
    22,658.09x = 31,273.16 × 12,589.99
  4. Step 4: Simplify right side
    22,658.09x = 393,728,803.14
  5. Step 5: Solve for x
    x = 393,728,803.14/22,658.09
  6. Step 6: Final answer
    x = 17,376.97

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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.