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Finding the Fourth Proportional to 12,844.15, 19,253.01 and 6,170.63

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Solution

The fourth proportional to 12,844.15, 19,253.01 and 6,170.63 is: 9,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.15 : 19,253.01 = 6,170.63 : x
  2. Step 2: Convert to fraction form
    12,844.15/19,253.01 = 6,170.63/x
  3. Step 3: Cross multiply
    12,844.15x = 19,253.01 × 6,170.63
  4. Step 4: Simplify right side
    12,844.15x = 118,803,201.10
  5. Step 5: Solve for x
    x = 118,803,201.10/12,844.15
  6. Step 6: Final answer
    x = 9,249.60

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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.