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Finding the Fourth Proportional to 14,706.06, 20,293.41 and 8,334.01

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Solution

The fourth proportional to 14,706.06, 20,293.41 and 8,334.01 is: 11,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.06 : 20,293.41 = 8,334.01 : x
  2. Step 2: Convert to fraction form
    14,706.06/20,293.41 = 8,334.01/x
  3. Step 3: Cross multiply
    14,706.06x = 20,293.41 × 8,334.01
  4. Step 4: Simplify right side
    14,706.06x = 169,125,481.87
  5. Step 5: Solve for x
    x = 169,125,481.87/14,706.06
  6. Step 6: Final answer
    x = 11,500.39

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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.