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Finding the Fourth Proportional to 14,035.54, 21,042.13 and 8,105.70

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Solution

The fourth proportional to 14,035.54, 21,042.13 and 8,105.70 is: 12,152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.54 : 21,042.13 = 8,105.70 : x
  2. Step 2: Convert to fraction form
    14,035.54/21,042.13 = 8,105.70/x
  3. Step 3: Cross multiply
    14,035.54x = 21,042.13 × 8,105.70
  4. Step 4: Simplify right side
    14,035.54x = 170,561,193.14
  5. Step 5: Solve for x
    x = 170,561,193.14/14,035.54
  6. Step 6: Final answer
    x = 12,152.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.