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Finding the Fourth Proportional to 13,074.98, 19,612.19 and 3,213.88

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Solution

The fourth proportional to 13,074.98, 19,612.19 and 3,213.88 is: 4,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.98 : 19,612.19 = 3,213.88 : x
  2. Step 2: Convert to fraction form
    13,074.98/19,612.19 = 3,213.88/x
  3. Step 3: Cross multiply
    13,074.98x = 19,612.19 × 3,213.88
  4. Step 4: Simplify right side
    13,074.98x = 63,031,184.20
  5. Step 5: Solve for x
    x = 63,031,184.20/13,074.98
  6. Step 6: Final answer
    x = 4,820.75

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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.