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Finding the Fourth Proportional to 13,364.73, 20,027.93 and 7,509.02

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Solution

The fourth proportional to 13,364.73, 20,027.93 and 7,509.02 is: 11,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.73 : 20,027.93 = 7,509.02 : x
  2. Step 2: Convert to fraction form
    13,364.73/20,027.93 = 7,509.02/x
  3. Step 3: Cross multiply
    13,364.73x = 20,027.93 × 7,509.02
  4. Step 4: Simplify right side
    13,364.73x = 150,389,989.24
  5. Step 5: Solve for x
    x = 150,389,989.24/13,364.73
  6. Step 6: Final answer
    x = 11,252.75

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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.