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Finding the Fourth Proportional to 16,021.44, 22,108.64 and 8,948.32

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Solution

The fourth proportional to 16,021.44, 22,108.64 and 8,948.32 is: 12,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.44 : 22,108.64 = 8,948.32 : x
  2. Step 2: Convert to fraction form
    16,021.44/22,108.64 = 8,948.32/x
  3. Step 3: Cross multiply
    16,021.44x = 22,108.64 × 8,948.32
  4. Step 4: Simplify right side
    16,021.44x = 197,835,185.48
  5. Step 5: Solve for x
    x = 197,835,185.48/16,021.44
  6. Step 6: Final answer
    x = 12,348.15

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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.