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Finding the Fourth Proportional to 13,100.95, 19,649.26 and 4,215.84

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Solution

The fourth proportional to 13,100.95, 19,649.26 and 4,215.84 is: 6,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.95 : 19,649.26 = 4,215.84 : x
  2. Step 2: Convert to fraction form
    13,100.95/19,649.26 = 4,215.84/x
  3. Step 3: Cross multiply
    13,100.95x = 19,649.26 × 4,215.84
  4. Step 4: Simplify right side
    13,100.95x = 82,838,136.28
  5. Step 5: Solve for x
    x = 82,838,136.28/13,100.95
  6. Step 6: Final answer
    x = 6,323.06

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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.