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Finding the Fourth Proportional to 13,205.32, 18,223.32 and 7,237.24

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Solution

The fourth proportional to 13,205.32, 18,223.32 and 7,237.24 is: 9,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.32 : 18,223.32 = 7,237.24 : x
  2. Step 2: Convert to fraction form
    13,205.32/18,223.32 = 7,237.24/x
  3. Step 3: Cross multiply
    13,205.32x = 18,223.32 × 7,237.24
  4. Step 4: Simplify right side
    13,205.32x = 131,886,540.44
  5. Step 5: Solve for x
    x = 131,886,540.44/13,205.32
  6. Step 6: Final answer
    x = 9,987.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.