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Finding the Fourth Proportional to 14,206.38, 19,604.86 and 7,832.84

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Solution

The fourth proportional to 14,206.38, 19,604.86 and 7,832.84 is: 10,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.38 : 19,604.86 = 7,832.84 : x
  2. Step 2: Convert to fraction form
    14,206.38/19,604.86 = 7,832.84/x
  3. Step 3: Cross multiply
    14,206.38x = 19,604.86 × 7,832.84
  4. Step 4: Simplify right side
    14,206.38x = 153,561,731.60
  5. Step 5: Solve for x
    x = 153,561,731.60/14,206.38
  6. Step 6: Final answer
    x = 10,809.35

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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.