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Finding the Fourth Proportional to 14,849.31, 20,492.01 and 8,134.95

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Solution

The fourth proportional to 14,849.31, 20,492.01 and 8,134.95 is: 11,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,849.31 : 20,492.01 = 8,134.95 : x
  2. Step 2: Convert to fraction form
    14,849.31/20,492.01 = 8,134.95/x
  3. Step 3: Cross multiply
    14,849.31x = 20,492.01 × 8,134.95
  4. Step 4: Simplify right side
    14,849.31x = 166,701,476.75
  5. Step 5: Solve for x
    x = 166,701,476.75/14,849.31
  6. Step 6: Final answer
    x = 11,226.21

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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.