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Finding the Fourth Proportional to 16,347, 22,558.86 and 8,895

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Solution

The fourth proportional to 16,347, 22,558.86 and 8,895 is: 12,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347 : 22,558.86 = 8,895 : x
  2. Step 2: Convert to fraction form
    16,347/22,558.86 = 8,895/x
  3. Step 3: Cross multiply
    16,347x = 22,558.86 × 8,895
  4. Step 4: Simplify right side
    16,347x = 200,661,059.70
  5. Step 5: Solve for x
    x = 200,661,059.70/16,347
  6. Step 6: Final answer
    x = 12,275.10

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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.