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Finding the Fourth Proportional to 16,368, 22,587.84 and 8,916

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Solution

The fourth proportional to 16,368, 22,587.84 and 8,916 is: 12,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,368 : 22,587.84 = 8,916 : x
  2. Step 2: Convert to fraction form
    16,368/22,587.84 = 8,916/x
  3. Step 3: Cross multiply
    16,368x = 22,587.84 × 8,916
  4. Step 4: Simplify right side
    16,368x = 201,393,181.44
  5. Step 5: Solve for x
    x = 201,393,181.44/16,368
  6. Step 6: Final answer
    x = 12,304.08

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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.