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Finding the Fourth Proportional to 16,272, 22,455.36 and 8,820

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Solution

The fourth proportional to 16,272, 22,455.36 and 8,820 is: 12,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,272 : 22,455.36 = 8,820 : x
  2. Step 2: Convert to fraction form
    16,272/22,455.36 = 8,820/x
  3. Step 3: Cross multiply
    16,272x = 22,455.36 × 8,820
  4. Step 4: Simplify right side
    16,272x = 198,056,275.20
  5. Step 5: Solve for x
    x = 198,056,275.20/16,272
  6. Step 6: Final answer
    x = 12,171.60

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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.