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Finding the Fourth Proportional to 13,339.08, 20,002.34 and 7,794.02

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Solution

The fourth proportional to 13,339.08, 20,002.34 and 7,794.02 is: 11,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,339.08 : 20,002.34 = 7,794.02 : x
  2. Step 2: Convert to fraction form
    13,339.08/20,002.34 = 7,794.02/x
  3. Step 3: Cross multiply
    13,339.08x = 20,002.34 × 7,794.02
  4. Step 4: Simplify right side
    13,339.08x = 155,898,707.50
  5. Step 5: Solve for x
    x = 155,898,707.50/13,339.08
  6. Step 6: Final answer
    x = 11,687.37

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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.