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Finding the Fourth Proportional to 22,668.98, 31,281.75 and 12,596.81

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Solution

The fourth proportional to 22,668.98, 31,281.75 and 12,596.81 is: 17,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.98 : 31,281.75 = 12,596.81 : x
  2. Step 2: Convert to fraction form
    22,668.98/31,281.75 = 12,596.81/x
  3. Step 3: Cross multiply
    22,668.98x = 31,281.75 × 12,596.81
  4. Step 4: Simplify right side
    22,668.98x = 394,050,104.81
  5. Step 5: Solve for x
    x = 394,050,104.81/22,668.98
  6. Step 6: Final answer
    x = 17,382.79

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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.