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Finding the Fourth Proportional to 12,679.68, 19,027.68 and 6,840.32

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Solution

The fourth proportional to 12,679.68, 19,027.68 and 6,840.32 is: 10,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.68 : 19,027.68 = 6,840.32 : x
  2. Step 2: Convert to fraction form
    12,679.68/19,027.68 = 6,840.32/x
  3. Step 3: Cross multiply
    12,679.68x = 19,027.68 × 6,840.32
  4. Step 4: Simplify right side
    12,679.68x = 130,155,420.06
  5. Step 5: Solve for x
    x = 130,155,420.06/12,679.68
  6. Step 6: Final answer
    x = 10,264.88

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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.