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Finding the Fourth Proportional to 14,446.41, 19,936.49 and 8,159.19

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Solution

The fourth proportional to 14,446.41, 19,936.49 and 8,159.19 is: 11,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.41 : 19,936.49 = 8,159.19 : x
  2. Step 2: Convert to fraction form
    14,446.41/19,936.49 = 8,159.19/x
  3. Step 3: Cross multiply
    14,446.41x = 19,936.49 × 8,159.19
  4. Step 4: Simplify right side
    14,446.41x = 162,665,609.84
  5. Step 5: Solve for x
    x = 162,665,609.84/14,446.41
  6. Step 6: Final answer
    x = 11,259.93

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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.