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Finding the Fourth Proportional to 20,957.24, 31,398.84 and 11,074.64

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Solution

The fourth proportional to 20,957.24, 31,398.84 and 11,074.64 is: 16,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.24 : 31,398.84 = 11,074.64 : x
  2. Step 2: Convert to fraction form
    20,957.24/31,398.84 = 11,074.64/x
  3. Step 3: Cross multiply
    20,957.24x = 31,398.84 × 11,074.64
  4. Step 4: Simplify right side
    20,957.24x = 347,730,849.42
  5. Step 5: Solve for x
    x = 347,730,849.42/20,957.24
  6. Step 6: Final answer
    x = 16,592.40

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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.