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Finding the Fourth Proportional to 22,668.71, 31,280.83 and 12,596.51

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Solution

The fourth proportional to 22,668.71, 31,280.83 and 12,596.51 is: 17,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.71 : 31,280.83 = 12,596.51 : x
  2. Step 2: Convert to fraction form
    22,668.71/31,280.83 = 12,596.51/x
  3. Step 3: Cross multiply
    22,668.71x = 31,280.83 × 12,596.51
  4. Step 4: Simplify right side
    22,668.71x = 394,029,366.11
  5. Step 5: Solve for x
    x = 394,029,366.11/22,668.71
  6. Step 6: Final answer
    x = 17,382.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.