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Finding the Fourth Proportional to 12,961.41, 19,438.07 and 4,194.51

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Solution

The fourth proportional to 12,961.41, 19,438.07 and 4,194.51 is: 6,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.41 : 19,438.07 = 4,194.51 : x
  2. Step 2: Convert to fraction form
    12,961.41/19,438.07 = 4,194.51/x
  3. Step 3: Cross multiply
    12,961.41x = 19,438.07 × 4,194.51
  4. Step 4: Simplify right side
    12,961.41x = 81,533,158.02
  5. Step 5: Solve for x
    x = 81,533,158.02/12,961.41
  6. Step 6: Final answer
    x = 6,290.45

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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.