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Finding the Fourth Proportional to 14,735.24, 20,334.42 and 8,111.24

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Solution

The fourth proportional to 14,735.24, 20,334.42 and 8,111.24 is: 11,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.24 : 20,334.42 = 8,111.24 : x
  2. Step 2: Convert to fraction form
    14,735.24/20,334.42 = 8,111.24/x
  3. Step 3: Cross multiply
    14,735.24x = 20,334.42 × 8,111.24
  4. Step 4: Simplify right side
    14,735.24x = 164,937,360.88
  5. Step 5: Solve for x
    x = 164,937,360.88/14,735.24
  6. Step 6: Final answer
    x = 11,193.39

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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.