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Finding the Fourth Proportional to 15,533.54, 23,297.67 and 7,634.01

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Solution

The fourth proportional to 15,533.54, 23,297.67 and 7,634.01 is: 11,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.54 : 23,297.67 = 7,634.01 : x
  2. Step 2: Convert to fraction form
    15,533.54/23,297.67 = 7,634.01/x
  3. Step 3: Cross multiply
    15,533.54x = 23,297.67 × 7,634.01
  4. Step 4: Simplify right side
    15,533.54x = 177,854,645.76
  5. Step 5: Solve for x
    x = 177,854,645.76/15,533.54
  6. Step 6: Final answer
    x = 11,449.72

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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.