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Finding the Fourth Proportional to 23,533.36, 35,299.80 and 6,003

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Solution

The fourth proportional to 23,533.36, 35,299.80 and 6,003 is: 9,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.36 : 35,299.80 = 6,003 : x
  2. Step 2: Convert to fraction form
    23,533.36/35,299.80 = 6,003/x
  3. Step 3: Cross multiply
    23,533.36x = 35,299.80 × 6,003
  4. Step 4: Simplify right side
    23,533.36x = 211,904,699.40
  5. Step 5: Solve for x
    x = 211,904,699.40/23,533.36
  6. Step 6: Final answer
    x = 9,004.44

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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.