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Finding the Fourth Proportional to 12,773.10, 19,153.80 and 6,849.09

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Solution

The fourth proportional to 12,773.10, 19,153.80 and 6,849.09 is: 10,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.10 : 19,153.80 = 6,849.09 : x
  2. Step 2: Convert to fraction form
    12,773.10/19,153.80 = 6,849.09/x
  3. Step 3: Cross multiply
    12,773.10x = 19,153.80 × 6,849.09
  4. Step 4: Simplify right side
    12,773.10x = 131,186,100.04
  5. Step 5: Solve for x
    x = 131,186,100.04/12,773.10
  6. Step 6: Final answer
    x = 10,270.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.