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Finding the Fourth Proportional to 12,967.41, 19,447.07 and 4,200.51

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Solution

The fourth proportional to 12,967.41, 19,447.07 and 4,200.51 is: 6,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.41 : 19,447.07 = 4,200.51 : x
  2. Step 2: Convert to fraction form
    12,967.41/19,447.07 = 4,200.51/x
  3. Step 3: Cross multiply
    12,967.41x = 19,447.07 × 4,200.51
  4. Step 4: Simplify right side
    12,967.41x = 81,687,591.00
  5. Step 5: Solve for x
    x = 81,687,591.00/12,967.41
  6. Step 6: Final answer
    x = 6,299.45

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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.