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Finding the Fourth Proportional to 16,284.52, 22,473.08 and 9,212

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Solution

The fourth proportional to 16,284.52, 22,473.08 and 9,212 is: 12,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.52 : 22,473.08 = 9,212 : x
  2. Step 2: Convert to fraction form
    16,284.52/22,473.08 = 9,212/x
  3. Step 3: Cross multiply
    16,284.52x = 22,473.08 × 9,212
  4. Step 4: Simplify right side
    16,284.52x = 207,022,012.96
  5. Step 5: Solve for x
    x = 207,022,012.96/16,284.52
  6. Step 6: Final answer
    x = 12,712.81

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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.