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Finding the Fourth Proportional to 13,107.84, 19,661.76 and 6,187.20

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Solution

The fourth proportional to 13,107.84, 19,661.76 and 6,187.20 is: 9,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.84 : 19,661.76 = 6,187.20 : x
  2. Step 2: Convert to fraction form
    13,107.84/19,661.76 = 6,187.20/x
  3. Step 3: Cross multiply
    13,107.84x = 19,661.76 × 6,187.20
  4. Step 4: Simplify right side
    13,107.84x = 121,651,241.47
  5. Step 5: Solve for x
    x = 121,651,241.47/13,107.84
  6. Step 6: Final answer
    x = 9,280.80

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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.