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Finding the Fourth Proportional to 16,446.34, 22,668.31 and 12,466.18

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Solution

The fourth proportional to 16,446.34, 22,668.31 and 12,466.18 is: 17,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.34 : 22,668.31 = 12,466.18 : x
  2. Step 2: Convert to fraction form
    16,446.34/22,668.31 = 12,466.18/x
  3. Step 3: Cross multiply
    16,446.34x = 22,668.31 × 12,466.18
  4. Step 4: Simplify right side
    16,446.34x = 282,587,232.76
  5. Step 5: Solve for x
    x = 282,587,232.76/16,446.34
  6. Step 6: Final answer
    x = 17,182.38

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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.