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Finding the Fourth Proportional to 13,242.24, 19,866.24 and 4,008

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Solution

The fourth proportional to 13,242.24, 19,866.24 and 4,008 is: 6,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.24 : 19,866.24 = 4,008 : x
  2. Step 2: Convert to fraction form
    13,242.24/19,866.24 = 4,008/x
  3. Step 3: Cross multiply
    13,242.24x = 19,866.24 × 4,008
  4. Step 4: Simplify right side
    13,242.24x = 79,623,889.92
  5. Step 5: Solve for x
    x = 79,623,889.92/13,242.24
  6. Step 6: Final answer
    x = 6,012.87

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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.