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Finding the Fourth Proportional to 14,453.83, 19,945.74 and 8,166.34

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Solution

The fourth proportional to 14,453.83, 19,945.74 and 8,166.34 is: 11,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453.83 : 19,945.74 = 8,166.34 : x
  2. Step 2: Convert to fraction form
    14,453.83/19,945.74 = 8,166.34/x
  3. Step 3: Cross multiply
    14,453.83x = 19,945.74 × 8,166.34
  4. Step 4: Simplify right side
    14,453.83x = 162,883,694.39
  5. Step 5: Solve for x
    x = 162,883,694.39/14,453.83
  6. Step 6: Final answer
    x = 11,269.24

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1.5x scale

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.