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Finding the Fourth Proportional to 23,533.34, 35,311.95 and 15,641.24

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Solution

The fourth proportional to 23,533.34, 35,311.95 and 15,641.24 is: 23,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.34 : 35,311.95 = 15,641.24 : x
  2. Step 2: Convert to fraction form
    23,533.34/35,311.95 = 15,641.24/x
  3. Step 3: Cross multiply
    23,533.34x = 35,311.95 × 15,641.24
  4. Step 4: Simplify right side
    23,533.34x = 552,322,508.26
  5. Step 5: Solve for x
    x = 552,322,508.26/23,533.34
  6. Step 6: Final answer
    x = 23,469.79

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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.