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Finding the Fourth Proportional to 20,952.60, 31,424.04 and 9,259.44

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Solution

The fourth proportional to 20,952.60, 31,424.04 and 9,259.44 is: 13,887.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.60 : 31,424.04 = 9,259.44 : x
  2. Step 2: Convert to fraction form
    20,952.60/31,424.04 = 9,259.44/x
  3. Step 3: Cross multiply
    20,952.60x = 31,424.04 × 9,259.44
  4. Step 4: Simplify right side
    20,952.60x = 290,969,012.94
  5. Step 5: Solve for x
    x = 290,969,012.94/20,952.60
  6. Step 6: Final answer
    x = 13,887.01

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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.