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Finding the Fourth Proportional to 21,571.39, 32,364.86 and 7,533.48

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Solution

The fourth proportional to 21,571.39, 32,364.86 and 7,533.48 is: 11,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.39 : 32,364.86 = 7,533.48 : x
  2. Step 2: Convert to fraction form
    21,571.39/32,364.86 = 7,533.48/x
  3. Step 3: Cross multiply
    21,571.39x = 32,364.86 × 7,533.48
  4. Step 4: Simplify right side
    21,571.39x = 243,819,963.43
  5. Step 5: Solve for x
    x = 243,819,963.43/21,571.39
  6. Step 6: Final answer
    x = 11,302.94

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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.