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Finding the Fourth Proportional to 22,668.71, 31,280.49 and 14,171.77

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Solution

The fourth proportional to 22,668.71, 31,280.49 and 14,171.77 is: 19,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.71 : 31,280.49 = 14,171.77 : x
  2. Step 2: Convert to fraction form
    22,668.71/31,280.49 = 14,171.77/x
  3. Step 3: Cross multiply
    22,668.71x = 31,280.49 × 14,171.77
  4. Step 4: Simplify right side
    22,668.71x = 443,299,760.71
  5. Step 5: Solve for x
    x = 443,299,760.71/22,668.71
  6. Step 6: Final answer
    x = 19,555.58

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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.