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Finding the Fourth Proportional to 20,656.87, 30,968.05 and 9,571.52

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Solution

The fourth proportional to 20,656.87, 30,968.05 and 9,571.52 is: 14,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,656.87 : 30,968.05 = 9,571.52 : x
  2. Step 2: Convert to fraction form
    20,656.87/30,968.05 = 9,571.52/x
  3. Step 3: Cross multiply
    20,656.87x = 30,968.05 × 9,571.52
  4. Step 4: Simplify right side
    20,656.87x = 296,411,309.94
  5. Step 5: Solve for x
    x = 296,411,309.94/20,656.87
  6. Step 6: Final answer
    x = 14,349.28

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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.