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Finding the Fourth Proportional to 16,287.14, 22,476.21 and 8,835.14

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Solution

The fourth proportional to 16,287.14, 22,476.21 and 8,835.14 is: 12,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.14 : 22,476.21 = 8,835.14 : x
  2. Step 2: Convert to fraction form
    16,287.14/22,476.21 = 8,835.14/x
  3. Step 3: Cross multiply
    16,287.14x = 22,476.21 × 8,835.14
  4. Step 4: Simplify right side
    16,287.14x = 198,580,462.02
  5. Step 5: Solve for x
    x = 198,580,462.02/16,287.14
  6. Step 6: Final answer
    x = 12,192.47

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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.