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Finding the Fourth Proportional to 13,119.93, 19,685.68 and 6,878.45

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Solution

The fourth proportional to 13,119.93, 19,685.68 and 6,878.45 is: 10,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119.93 : 19,685.68 = 6,878.45 : x
  2. Step 2: Convert to fraction form
    13,119.93/19,685.68 = 6,878.45/x
  3. Step 3: Cross multiply
    13,119.93x = 19,685.68 × 6,878.45
  4. Step 4: Simplify right side
    13,119.93x = 135,406,997.61
  5. Step 5: Solve for x
    x = 135,406,997.61/13,119.93
  6. Step 6: Final answer
    x = 10,320.71

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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.