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Finding the Fourth Proportional to 16,536, 22,820.08 and 9,084

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Solution

The fourth proportional to 16,536, 22,820.08 and 9,084 is: 12,536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536 : 22,820.08 = 9,084 : x
  2. Step 2: Convert to fraction form
    16,536/22,820.08 = 9,084/x
  3. Step 3: Cross multiply
    16,536x = 22,820.08 × 9,084
  4. Step 4: Simplify right side
    16,536x = 207,297,606.72
  5. Step 5: Solve for x
    x = 207,297,606.72/16,536
  6. Step 6: Final answer
    x = 12,536.14

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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.