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Finding the Fourth Proportional to 16,386, 22,612.68 and 8,934

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Solution

The fourth proportional to 16,386, 22,612.68 and 8,934 is: 12,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386 : 22,612.68 = 8,934 : x
  2. Step 2: Convert to fraction form
    16,386/22,612.68 = 8,934/x
  3. Step 3: Cross multiply
    16,386x = 22,612.68 × 8,934
  4. Step 4: Simplify right side
    16,386x = 202,021,683.12
  5. Step 5: Solve for x
    x = 202,021,683.12/16,386
  6. Step 6: Final answer
    x = 12,328.92

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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.