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Finding the Fourth Proportional to 13,074, 19,614.33 and 3,840

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Solution

The fourth proportional to 13,074, 19,614.33 and 3,840 is: 5,760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074 : 19,614.33 = 3,840 : x
  2. Step 2: Convert to fraction form
    13,074/19,614.33 = 3,840/x
  3. Step 3: Cross multiply
    13,074x = 19,614.33 × 3,840
  4. Step 4: Simplify right side
    13,074x = 75,319,027.20
  5. Step 5: Solve for x
    x = 75,319,027.20/13,074
  6. Step 6: Final answer
    x = 5,760.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.