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Finding the Fourth Proportional to 16,342, 22,552.32 and 8,890

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Solution

The fourth proportional to 16,342, 22,552.32 and 8,890 is: 12,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342 : 22,552.32 = 8,890 : x
  2. Step 2: Convert to fraction form
    16,342/22,552.32 = 8,890/x
  3. Step 3: Cross multiply
    16,342x = 22,552.32 × 8,890
  4. Step 4: Simplify right side
    16,342x = 200,490,124.80
  5. Step 5: Solve for x
    x = 200,490,124.80/16,342
  6. Step 6: Final answer
    x = 12,268.40

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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.