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Finding the Fourth Proportional to 23,533.26, 35,305.14 and 7,950.48

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Solution

The fourth proportional to 23,533.26, 35,305.14 and 7,950.48 is: 11,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.26 : 35,305.14 = 7,950.48 : x
  2. Step 2: Convert to fraction form
    23,533.26/35,305.14 = 7,950.48/x
  3. Step 3: Cross multiply
    23,533.26x = 35,305.14 × 7,950.48
  4. Step 4: Simplify right side
    23,533.26x = 280,692,809.47
  5. Step 5: Solve for x
    x = 280,692,809.47/23,533.26
  6. Step 6: Final answer
    x = 11,927.49

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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.