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Finding the Fourth Proportional to 16,348, 22,560.24 and 8,896

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Solution

The fourth proportional to 16,348, 22,560.24 and 8,896 is: 12,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348 : 22,560.24 = 8,896 : x
  2. Step 2: Convert to fraction form
    16,348/22,560.24 = 8,896/x
  3. Step 3: Cross multiply
    16,348x = 22,560.24 × 8,896
  4. Step 4: Simplify right side
    16,348x = 200,695,895.04
  5. Step 5: Solve for x
    x = 200,695,895.04/16,348
  6. Step 6: Final answer
    x = 12,276.48

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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.