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Finding the Fourth Proportional to 22,668.60, 31,281.18 and 12,596.28

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Solution

The fourth proportional to 22,668.60, 31,281.18 and 12,596.28 is: 17,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.60 : 31,281.18 = 12,596.28 : x
  2. Step 2: Convert to fraction form
    22,668.60/31,281.18 = 12,596.28/x
  3. Step 3: Cross multiply
    22,668.60x = 31,281.18 × 12,596.28
  4. Step 4: Simplify right side
    22,668.60x = 394,026,502.01
  5. Step 5: Solve for x
    x = 394,026,502.01/22,668.60
  6. Step 6: Final answer
    x = 17,382.04

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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.