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Finding the Fourth Proportional to 14,446.50, 19,936.20 and 8,158.74

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Solution

The fourth proportional to 14,446.50, 19,936.20 and 8,158.74 is: 11,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.50 : 19,936.20 = 8,158.74 : x
  2. Step 2: Convert to fraction form
    14,446.50/19,936.20 = 8,158.74/x
  3. Step 3: Cross multiply
    14,446.50x = 19,936.20 × 8,158.74
  4. Step 4: Simplify right side
    14,446.50x = 162,654,272.39
  5. Step 5: Solve for x
    x = 162,654,272.39/14,446.50
  6. Step 6: Final answer
    x = 11,259.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.