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Finding the Fourth Proportional to 16,643, 24,983.70 and 8,452.28

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Solution

The fourth proportional to 16,643, 24,983.70 and 8,452.28 is: 12,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643 : 24,983.70 = 8,452.28 : x
  2. Step 2: Convert to fraction form
    16,643/24,983.70 = 8,452.28/x
  3. Step 3: Cross multiply
    16,643x = 24,983.70 × 8,452.28
  4. Step 4: Simplify right side
    16,643x = 211,169,227.84
  5. Step 5: Solve for x
    x = 211,169,227.84/16,643
  6. Step 6: Final answer
    x = 12,688.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.