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Finding the Fourth Proportional to 16,446, 22,695.84 and 8,994

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Solution

The fourth proportional to 16,446, 22,695.84 and 8,994 is: 12,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446 : 22,695.84 = 8,994 : x
  2. Step 2: Convert to fraction form
    16,446/22,695.84 = 8,994/x
  3. Step 3: Cross multiply
    16,446x = 22,695.84 × 8,994
  4. Step 4: Simplify right side
    16,446x = 204,126,384.96
  5. Step 5: Solve for x
    x = 204,126,384.96/16,446
  6. Step 6: Final answer
    x = 12,411.92

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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.