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Finding the Fourth Proportional to 21,352.41, 32,023.80 and 6,356.43

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Solution

The fourth proportional to 21,352.41, 32,023.80 and 6,356.43 is: 9,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352.41 : 32,023.80 = 6,356.43 : x
  2. Step 2: Convert to fraction form
    21,352.41/32,023.80 = 6,356.43/x
  3. Step 3: Cross multiply
    21,352.41x = 32,023.80 × 6,356.43
  4. Step 4: Simplify right side
    21,352.41x = 203,557,043.03
  5. Step 5: Solve for x
    x = 203,557,043.03/21,352.41
  6. Step 6: Final answer
    x = 9,533.21

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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.