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Finding the Fourth Proportional to 23,991.66, 35,993.16 and 9,200.25

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Solution

The fourth proportional to 23,991.66, 35,993.16 and 9,200.25 is: 13,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,991.66 : 35,993.16 = 9,200.25 : x
  2. Step 2: Convert to fraction form
    23,991.66/35,993.16 = 9,200.25/x
  3. Step 3: Cross multiply
    23,991.66x = 35,993.16 × 9,200.25
  4. Step 4: Simplify right side
    23,991.66x = 331,146,070.29
  5. Step 5: Solve for x
    x = 331,146,070.29/23,991.66
  6. Step 6: Final answer
    x = 13,802.55

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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.