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Finding the Fourth Proportional to 20,964.42, 31,445.76 and 7,113.42

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Solution

The fourth proportional to 20,964.42, 31,445.76 and 7,113.42 is: 10,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964.42 : 31,445.76 = 7,113.42 : x
  2. Step 2: Convert to fraction form
    20,964.42/31,445.76 = 7,113.42/x
  3. Step 3: Cross multiply
    20,964.42x = 31,445.76 × 7,113.42
  4. Step 4: Simplify right side
    20,964.42x = 223,686,898.10
  5. Step 5: Solve for x
    x = 223,686,898.10/20,964.42
  6. Step 6: Final answer
    x = 10,669.83

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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.