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Finding the Fourth Proportional to 16,127.52, 22,256 and 9,056.24

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Solution

The fourth proportional to 16,127.52, 22,256 and 9,056.24 is: 12,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,127.52 : 22,256 = 9,056.24 : x
  2. Step 2: Convert to fraction form
    16,127.52/22,256 = 9,056.24/x
  3. Step 3: Cross multiply
    16,127.52x = 22,256 × 9,056.24
  4. Step 4: Simplify right side
    16,127.52x = 201,555,677.44
  5. Step 5: Solve for x
    x = 201,555,677.44/16,127.52
  6. Step 6: Final answer
    x = 12,497.62

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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.