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Finding the Fourth Proportional to 12,961.35, 19,444.05 and 4,195.13

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Solution

The fourth proportional to 12,961.35, 19,444.05 and 4,195.13 is: 6,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.35 : 19,444.05 = 4,195.13 : x
  2. Step 2: Convert to fraction form
    12,961.35/19,444.05 = 4,195.13/x
  3. Step 3: Cross multiply
    12,961.35x = 19,444.05 × 4,195.13
  4. Step 4: Simplify right side
    12,961.35x = 81,570,220.26
  5. Step 5: Solve for x
    x = 81,570,220.26/12,961.35
  6. Step 6: Final answer
    x = 6,293.34

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