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Finding the Fourth Proportional to 21,571.89, 32,365.61 and 7,533.98

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Solution

The fourth proportional to 21,571.89, 32,365.61 and 7,533.98 is: 11,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.89 : 32,365.61 = 7,533.98 : x
  2. Step 2: Convert to fraction form
    21,571.89/32,365.61 = 7,533.98/x
  3. Step 3: Cross multiply
    21,571.89x = 32,365.61 × 7,533.98
  4. Step 4: Simplify right side
    21,571.89x = 243,841,858.43
  5. Step 5: Solve for x
    x = 243,841,858.43/21,571.89
  6. Step 6: Final answer
    x = 11,303.69

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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.