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Finding the Fourth Proportional to 12,967.19, 19,450.33 and 4,201.88

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Solution

The fourth proportional to 12,967.19, 19,450.33 and 4,201.88 is: 6,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.19 : 19,450.33 = 4,201.88 : x
  2. Step 2: Convert to fraction form
    12,967.19/19,450.33 = 4,201.88/x
  3. Step 3: Cross multiply
    12,967.19x = 19,450.33 × 4,201.88
  4. Step 4: Simplify right side
    12,967.19x = 81,727,844.86
  5. Step 5: Solve for x
    x = 81,727,844.86/12,967.19
  6. Step 6: Final answer
    x = 6,302.66

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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.