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Finding the Fourth Proportional to 14,735.50, 20,334.38 and 8,021.14

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Solution

The fourth proportional to 14,735.50, 20,334.38 and 8,021.14 is: 11,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.50 : 20,334.38 = 8,021.14 : x
  2. Step 2: Convert to fraction form
    14,735.50/20,334.38 = 8,021.14/x
  3. Step 3: Cross multiply
    14,735.50x = 20,334.38 × 8,021.14
  4. Step 4: Simplify right side
    14,735.50x = 163,104,908.79
  5. Step 5: Solve for x
    x = 163,104,908.79/14,735.50
  6. Step 6: Final answer
    x = 11,068.84

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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.