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Finding the Fourth Proportional to 16,114.86, 22,239.64 and 8,945.14

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Solution

The fourth proportional to 16,114.86, 22,239.64 and 8,945.14 is: 12,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.86 : 22,239.64 = 8,945.14 : x
  2. Step 2: Convert to fraction form
    16,114.86/22,239.64 = 8,945.14/x
  3. Step 3: Cross multiply
    16,114.86x = 22,239.64 × 8,945.14
  4. Step 4: Simplify right side
    16,114.86x = 198,936,693.35
  5. Step 5: Solve for x
    x = 198,936,693.35/16,114.86
  6. Step 6: Final answer
    x = 12,344.92

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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.