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Finding the Fourth Proportional to 16,377, 22,600.26 and 8,925.48

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Solution

The fourth proportional to 16,377, 22,600.26 and 8,925.48 is: 12,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377 : 22,600.26 = 8,925.48 : x
  2. Step 2: Convert to fraction form
    16,377/22,600.26 = 8,925.48/x
  3. Step 3: Cross multiply
    16,377x = 22,600.26 × 8,925.48
  4. Step 4: Simplify right side
    16,377x = 201,718,168.62
  5. Step 5: Solve for x
    x = 201,718,168.62/16,377
  6. Step 6: Final answer
    x = 12,317.16

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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.