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Finding the Fourth Proportional to 14,309.84, 19,747.60 and 8,022.24

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Solution

The fourth proportional to 14,309.84, 19,747.60 and 8,022.24 is: 11,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.84 : 19,747.60 = 8,022.24 : x
  2. Step 2: Convert to fraction form
    14,309.84/19,747.60 = 8,022.24/x
  3. Step 3: Cross multiply
    14,309.84x = 19,747.60 × 8,022.24
  4. Step 4: Simplify right side
    14,309.84x = 158,419,986.62
  5. Step 5: Solve for x
    x = 158,419,986.62/14,309.84
  6. Step 6: Final answer
    x = 11,070.70

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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.