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Finding the Fourth Proportional to 22,658.45, 31,268.69 and 12,586.61

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Solution

The fourth proportional to 22,658.45, 31,268.69 and 12,586.61 is: 17,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.45 : 31,268.69 = 12,586.61 : x
  2. Step 2: Convert to fraction form
    22,658.45/31,268.69 = 12,586.61/x
  3. Step 3: Cross multiply
    22,658.45x = 31,268.69 × 12,586.61
  4. Step 4: Simplify right side
    22,658.45x = 393,566,868.68
  5. Step 5: Solve for x
    x = 393,566,868.68/22,658.45
  6. Step 6: Final answer
    x = 17,369.54

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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.