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Finding the Fourth Proportional to 20,957.94, 31,426.80 and 9,855.24

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Solution

The fourth proportional to 20,957.94, 31,426.80 and 9,855.24 is: 14,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.94 : 31,426.80 = 9,855.24 : x
  2. Step 2: Convert to fraction form
    20,957.94/31,426.80 = 9,855.24/x
  3. Step 3: Cross multiply
    20,957.94x = 31,426.80 × 9,855.24
  4. Step 4: Simplify right side
    20,957.94x = 309,718,656.43
  5. Step 5: Solve for x
    x = 309,718,656.43/20,957.94
  6. Step 6: Final answer
    x = 14,778.11

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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.