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Finding the Fourth Proportional to 12,859.32, 19,290.78 and 4,091.24

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Solution

The fourth proportional to 12,859.32, 19,290.78 and 4,091.24 is: 6,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.32 : 19,290.78 = 4,091.24 : x
  2. Step 2: Convert to fraction form
    12,859.32/19,290.78 = 4,091.24/x
  3. Step 3: Cross multiply
    12,859.32x = 19,290.78 × 4,091.24
  4. Step 4: Simplify right side
    12,859.32x = 78,923,210.77
  5. Step 5: Solve for x
    x = 78,923,210.77/12,859.32
  6. Step 6: Final answer
    x = 6,137.43

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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.