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Finding the Fourth Proportional to 23,657.20, 35,485.80 and 14,930.80

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Solution

The fourth proportional to 23,657.20, 35,485.80 and 14,930.80 is: 22,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.20 : 35,485.80 = 14,930.80 : x
  2. Step 2: Convert to fraction form
    23,657.20/35,485.80 = 14,930.80/x
  3. Step 3: Cross multiply
    23,657.20x = 35,485.80 × 14,930.80
  4. Step 4: Simplify right side
    23,657.20x = 529,831,382.64
  5. Step 5: Solve for x
    x = 529,831,382.64/23,657.20
  6. Step 6: Final answer
    x = 22,396.20

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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.