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Finding the Fourth Proportional to 14,105.35, 19,465.34 and 7,817.73

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Solution

The fourth proportional to 14,105.35, 19,465.34 and 7,817.73 is: 10,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.35 : 19,465.34 = 7,817.73 : x
  2. Step 2: Convert to fraction form
    14,105.35/19,465.34 = 7,817.73/x
  3. Step 3: Cross multiply
    14,105.35x = 19,465.34 × 7,817.73
  4. Step 4: Simplify right side
    14,105.35x = 152,174,772.48
  5. Step 5: Solve for x
    x = 152,174,772.48/14,105.35
  6. Step 6: Final answer
    x = 10,788.44

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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.