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Finding the Fourth Proportional to 13,119.95, 19,685.75 and 6,878.49

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Solution

The fourth proportional to 13,119.95, 19,685.75 and 6,878.49 is: 10,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119.95 : 19,685.75 = 6,878.49 : x
  2. Step 2: Convert to fraction form
    13,119.95/19,685.75 = 6,878.49/x
  3. Step 3: Cross multiply
    13,119.95x = 19,685.75 × 6,878.49
  4. Step 4: Simplify right side
    13,119.95x = 135,408,200.13
  5. Step 5: Solve for x
    x = 135,408,200.13/13,119.95
  6. Step 6: Final answer
    x = 10,320.79

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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.