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Finding the Fourth Proportional to 22,668.52, 31,280.57 and 12,596.33

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Solution

The fourth proportional to 22,668.52, 31,280.57 and 12,596.33 is: 17,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.52 : 31,280.57 = 12,596.33 : x
  2. Step 2: Convert to fraction form
    22,668.52/31,280.57 = 12,596.33/x
  3. Step 3: Cross multiply
    22,668.52x = 31,280.57 × 12,596.33
  4. Step 4: Simplify right side
    22,668.52x = 394,020,225.91
  5. Step 5: Solve for x
    x = 394,020,225.91/22,668.52
  6. Step 6: Final answer
    x = 17,381.82

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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.