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Finding the Fourth Proportional to 16,287.92, 22,473.92 and 9,216.08

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Solution

The fourth proportional to 16,287.92, 22,473.92 and 9,216.08 is: 12,716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.92 : 22,473.92 = 9,216.08 : x
  2. Step 2: Convert to fraction form
    16,287.92/22,473.92 = 9,216.08/x
  3. Step 3: Cross multiply
    16,287.92x = 22,473.92 × 9,216.08
  4. Step 4: Simplify right side
    16,287.92x = 207,121,444.63
  5. Step 5: Solve for x
    x = 207,121,444.63/16,287.92
  6. Step 6: Final answer
    x = 12,716.26

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1.5x scale

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.