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Finding the Fourth Proportional to 21,200.94, 31,796.55 and 9,517.50

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Solution

The fourth proportional to 21,200.94, 31,796.55 and 9,517.50 is: 14,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.94 : 31,796.55 = 9,517.50 : x
  2. Step 2: Convert to fraction form
    21,200.94/31,796.55 = 9,517.50/x
  3. Step 3: Cross multiply
    21,200.94x = 31,796.55 × 9,517.50
  4. Step 4: Simplify right side
    21,200.94x = 302,623,664.63
  5. Step 5: Solve for x
    x = 302,623,664.63/21,200.94
  6. Step 6: Final answer
    x = 14,274.07

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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.