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Finding the Fourth Proportional to 14,553.20, 20,084 and 8,266.16

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Solution

The fourth proportional to 14,553.20, 20,084 and 8,266.16 is: 11,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.20 : 20,084 = 8,266.16 : x
  2. Step 2: Convert to fraction form
    14,553.20/20,084 = 8,266.16/x
  3. Step 3: Cross multiply
    14,553.20x = 20,084 × 8,266.16
  4. Step 4: Simplify right side
    14,553.20x = 166,017,557.44
  5. Step 5: Solve for x
    x = 166,017,557.44/14,553.20
  6. Step 6: Final answer
    x = 11,407.63

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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.