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Finding the Fourth Proportional to 13,074.64, 19,612.02 and 3,213.92

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Solution

The fourth proportional to 13,074.64, 19,612.02 and 3,213.92 is: 4,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.64 : 19,612.02 = 3,213.92 : x
  2. Step 2: Convert to fraction form
    13,074.64/19,612.02 = 3,213.92/x
  3. Step 3: Cross multiply
    13,074.64x = 19,612.02 × 3,213.92
  4. Step 4: Simplify right side
    13,074.64x = 63,031,463.32
  5. Step 5: Solve for x
    x = 63,031,463.32/13,074.64
  6. Step 6: Final answer
    x = 4,820.89

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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.