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Finding the Fourth Proportional to 21,571.64, 32,365.24 and 7,533.73

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Solution

The fourth proportional to 21,571.64, 32,365.24 and 7,533.73 is: 11,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.64 : 32,365.24 = 7,533.73 : x
  2. Step 2: Convert to fraction form
    21,571.64/32,365.24 = 7,533.73/x
  3. Step 3: Cross multiply
    21,571.64x = 32,365.24 × 7,533.73
  4. Step 4: Simplify right side
    21,571.64x = 243,830,879.80
  5. Step 5: Solve for x
    x = 243,830,879.80/21,571.64
  6. Step 6: Final answer
    x = 11,303.31

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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.