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Finding the Fourth Proportional to 13,024.25, 19,520.73 and 5,994.59

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Solution

The fourth proportional to 13,024.25, 19,520.73 and 5,994.59 is: 8,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.25 : 19,520.73 = 5,994.59 : x
  2. Step 2: Convert to fraction form
    13,024.25/19,520.73 = 5,994.59/x
  3. Step 3: Cross multiply
    13,024.25x = 19,520.73 × 5,994.59
  4. Step 4: Simplify right side
    13,024.25x = 117,018,772.85
  5. Step 5: Solve for x
    x = 117,018,772.85/13,024.25
  6. Step 6: Final answer
    x = 8,984.68

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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.