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Finding the Fourth Proportional to 14,454.84, 19,947.12 and 8,167.34

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Solution

The fourth proportional to 14,454.84, 19,947.12 and 8,167.34 is: 11,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.84 : 19,947.12 = 8,167.34 : x
  2. Step 2: Convert to fraction form
    14,454.84/19,947.12 = 8,167.34/x
  3. Step 3: Cross multiply
    14,454.84x = 19,947.12 × 8,167.34
  4. Step 4: Simplify right side
    14,454.84x = 162,914,911.06
  5. Step 5: Solve for x
    x = 162,914,911.06/14,454.84
  6. Step 6: Final answer
    x = 11,270.61

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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.