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Finding the Fourth Proportional to 14,204.59, 19,602.41 and 8,239.80

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Solution

The fourth proportional to 14,204.59, 19,602.41 and 8,239.80 is: 11,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.59 : 19,602.41 = 8,239.80 : x
  2. Step 2: Convert to fraction form
    14,204.59/19,602.41 = 8,239.80/x
  3. Step 3: Cross multiply
    14,204.59x = 19,602.41 × 8,239.80
  4. Step 4: Simplify right side
    14,204.59x = 161,519,937.92
  5. Step 5: Solve for x
    x = 161,519,937.92/14,204.59
  6. Step 6: Final answer
    x = 11,370.97

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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.