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Finding the Fourth Proportional to 14,842, 20,482.02 and 8,218

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Solution

The fourth proportional to 14,842, 20,482.02 and 8,218 is: 11,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842 : 20,482.02 = 8,218 : x
  2. Step 2: Convert to fraction form
    14,842/20,482.02 = 8,218/x
  3. Step 3: Cross multiply
    14,842x = 20,482.02 × 8,218
  4. Step 4: Simplify right side
    14,842x = 168,321,240.36
  5. Step 5: Solve for x
    x = 168,321,240.36/14,842
  6. Step 6: Final answer
    x = 11,340.87

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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.