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Finding the Fourth Proportional to 13,116.84, 19,649.25 and 6,196.20

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Solution

The fourth proportional to 13,116.84, 19,649.25 and 6,196.20 is: 9,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116.84 : 19,649.25 = 6,196.20 : x
  2. Step 2: Convert to fraction form
    13,116.84/19,649.25 = 6,196.20/x
  3. Step 3: Cross multiply
    13,116.84x = 19,649.25 × 6,196.20
  4. Step 4: Simplify right side
    13,116.84x = 121,750,682.85
  5. Step 5: Solve for x
    x = 121,750,682.85/13,116.84
  6. Step 6: Final answer
    x = 9,282.01

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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.