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Finding the Fourth Proportional to 14,716.96, 20,307.28 and 8,092.96

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Solution

The fourth proportional to 14,716.96, 20,307.28 and 8,092.96 is: 11,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.96 : 20,307.28 = 8,092.96 : x
  2. Step 2: Convert to fraction form
    14,716.96/20,307.28 = 8,092.96/x
  3. Step 3: Cross multiply
    14,716.96x = 20,307.28 × 8,092.96
  4. Step 4: Simplify right side
    14,716.96x = 164,346,004.75
  5. Step 5: Solve for x
    x = 164,346,004.75/14,716.96
  6. Step 6: Final answer
    x = 11,167.12

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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.