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Finding the Fourth Proportional to 22,668.27, 31,282.23 and 12,597.65

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Solution

The fourth proportional to 22,668.27, 31,282.23 and 12,597.65 is: 17,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.27 : 31,282.23 = 12,597.65 : x
  2. Step 2: Convert to fraction form
    22,668.27/31,282.23 = 12,597.65/x
  3. Step 3: Cross multiply
    22,668.27x = 31,282.23 × 12,597.65
  4. Step 4: Simplify right side
    22,668.27x = 394,082,442.61
  5. Step 5: Solve for x
    x = 394,082,442.61/22,668.27
  6. Step 6: Final answer
    x = 17,384.76

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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.