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Finding the Fourth Proportional to 13,274.24, 19,914.24 and 4,040

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Solution

The fourth proportional to 13,274.24, 19,914.24 and 4,040 is: 6,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.24 : 19,914.24 = 4,040 : x
  2. Step 2: Convert to fraction form
    13,274.24/19,914.24 = 4,040/x
  3. Step 3: Cross multiply
    13,274.24x = 19,914.24 × 4,040
  4. Step 4: Simplify right side
    13,274.24x = 80,453,529.60
  5. Step 5: Solve for x
    x = 80,453,529.60/13,274.24
  6. Step 6: Final answer
    x = 6,060.88

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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.