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Finding the Fourth Proportional to 21,406.94, 32,121.92 and 8,935.50

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Solution

The fourth proportional to 21,406.94, 32,121.92 and 8,935.50 is: 13,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.94 : 32,121.92 = 8,935.50 : x
  2. Step 2: Convert to fraction form
    21,406.94/32,121.92 = 8,935.50/x
  3. Step 3: Cross multiply
    21,406.94x = 32,121.92 × 8,935.50
  4. Step 4: Simplify right side
    21,406.94x = 287,025,416.16
  5. Step 5: Solve for x
    x = 287,025,416.16/21,406.94
  6. Step 6: Final answer
    x = 13,408.05

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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.