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Finding the Fourth Proportional to 12,678.12, 19,019.24 and 3,911

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Solution

The fourth proportional to 12,678.12, 19,019.24 and 3,911 is: 5,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.12 : 19,019.24 = 3,911 : x
  2. Step 2: Convert to fraction form
    12,678.12/19,019.24 = 3,911/x
  3. Step 3: Cross multiply
    12,678.12x = 19,019.24 × 3,911
  4. Step 4: Simplify right side
    12,678.12x = 74,384,247.64
  5. Step 5: Solve for x
    x = 74,384,247.64/12,678.12
  6. Step 6: Final answer
    x = 5,867.14

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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.