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Finding the Fourth Proportional to 13,115.30, 19,678.78 and 6,873.84

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Solution

The fourth proportional to 13,115.30, 19,678.78 and 6,873.84 is: 10,313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.30 : 19,678.78 = 6,873.84 : x
  2. Step 2: Convert to fraction form
    13,115.30/19,678.78 = 6,873.84/x
  3. Step 3: Cross multiply
    13,115.30x = 19,678.78 × 6,873.84
  4. Step 4: Simplify right side
    13,115.30x = 135,268,785.12
  5. Step 5: Solve for x
    x = 135,268,785.12/13,115.30
  6. Step 6: Final answer
    x = 10,313.82

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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.