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Finding the Fourth Proportional to 21,467.94, 32,197.05 and 9,784.50

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Solution

The fourth proportional to 21,467.94, 32,197.05 and 9,784.50 is: 14,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,467.94 : 32,197.05 = 9,784.50 : x
  2. Step 2: Convert to fraction form
    21,467.94/32,197.05 = 9,784.50/x
  3. Step 3: Cross multiply
    21,467.94x = 32,197.05 × 9,784.50
  4. Step 4: Simplify right side
    21,467.94x = 315,032,035.73
  5. Step 5: Solve for x
    x = 315,032,035.73/21,467.94
  6. Step 6: Final answer
    x = 14,674.53

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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.