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Finding the Fourth Proportional to 14,454.44, 19,947.16 and 8,166.81

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Solution

The fourth proportional to 14,454.44, 19,947.16 and 8,166.81 is: 11,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.44 : 19,947.16 = 8,166.81 : x
  2. Step 2: Convert to fraction form
    14,454.44/19,947.16 = 8,166.81/x
  3. Step 3: Cross multiply
    14,454.44x = 19,947.16 × 8,166.81
  4. Step 4: Simplify right side
    14,454.44x = 162,904,665.76
  5. Step 5: Solve for x
    x = 162,904,665.76/14,454.44
  6. Step 6: Final answer
    x = 11,270.22

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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.