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Finding the Fourth Proportional to 20,533.44, 28,323.36 and 12,144

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Solution

The fourth proportional to 20,533.44, 28,323.36 and 12,144 is: 16,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.44 : 28,323.36 = 12,144 : x
  2. Step 2: Convert to fraction form
    20,533.44/28,323.36 = 12,144/x
  3. Step 3: Cross multiply
    20,533.44x = 28,323.36 × 12,144
  4. Step 4: Simplify right side
    20,533.44x = 343,958,883.84
  5. Step 5: Solve for x
    x = 343,958,883.84/20,533.44
  6. Step 6: Final answer
    x = 16,751.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.