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Finding the Fourth Proportional to 23,878.72, 35,817.95 and 6,109.35

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Solution

The fourth proportional to 23,878.72, 35,817.95 and 6,109.35 is: 9,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.72 : 35,817.95 = 6,109.35 : x
  2. Step 2: Convert to fraction form
    23,878.72/35,817.95 = 6,109.35/x
  3. Step 3: Cross multiply
    23,878.72x = 35,817.95 × 6,109.35
  4. Step 4: Simplify right side
    23,878.72x = 218,824,392.83
  5. Step 5: Solve for x
    x = 218,824,392.83/23,878.72
  6. Step 6: Final answer
    x = 9,163.99

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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.