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Finding the Fourth Proportional to 29,696.62, 40,981.22 and 16,267.86

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Solution

The fourth proportional to 29,696.62, 40,981.22 and 16,267.86 is: 22,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.62 : 40,981.22 = 16,267.86 : x
  2. Step 2: Convert to fraction form
    29,696.62/40,981.22 = 16,267.86/x
  3. Step 3: Cross multiply
    29,696.62x = 40,981.22 × 16,267.86
  4. Step 4: Simplify right side
    29,696.62x = 666,676,749.59
  5. Step 5: Solve for x
    x = 666,676,749.59/29,696.62
  6. Step 6: Final answer
    x = 22,449.58

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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.