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Finding the Fourth Proportional to 21,984.68, 32,962.44 and 7,188.41

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Solution

The fourth proportional to 21,984.68, 32,962.44 and 7,188.41 is: 10,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984.68 : 32,962.44 = 7,188.41 : x
  2. Step 2: Convert to fraction form
    21,984.68/32,962.44 = 7,188.41/x
  3. Step 3: Cross multiply
    21,984.68x = 32,962.44 × 7,188.41
  4. Step 4: Simplify right side
    21,984.68x = 236,947,533.32
  5. Step 5: Solve for x
    x = 236,947,533.32/21,984.68
  6. Step 6: Final answer
    x = 10,777.85

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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.