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Finding the Fourth Proportional to 23,573.80, 35,356.38 and 9,533.08

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Solution

The fourth proportional to 23,573.80, 35,356.38 and 9,533.08 is: 14,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,573.80 : 35,356.38 = 9,533.08 : x
  2. Step 2: Convert to fraction form
    23,573.80/35,356.38 = 9,533.08/x
  3. Step 3: Cross multiply
    23,573.80x = 35,356.38 × 9,533.08
  4. Step 4: Simplify right side
    23,573.80x = 337,055,199.05
  5. Step 5: Solve for x
    x = 337,055,199.05/23,573.80
  6. Step 6: Final answer
    x = 14,297.87

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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.