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Finding the Fourth Proportional to 14,206.66, 19,604.01 and 8,239.12

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Solution

The fourth proportional to 14,206.66, 19,604.01 and 8,239.12 is: 11,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.66 : 19,604.01 = 8,239.12 : x
  2. Step 2: Convert to fraction form
    14,206.66/19,604.01 = 8,239.12/x
  3. Step 3: Cross multiply
    14,206.66x = 19,604.01 × 8,239.12
  4. Step 4: Simplify right side
    14,206.66x = 161,519,790.87
  5. Step 5: Solve for x
    x = 161,519,790.87/14,206.66
  6. Step 6: Final answer
    x = 11,369.30

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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.