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Finding the Fourth Proportional to 20,903.45, 31,358.24 and 9,811.27

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Solution

The fourth proportional to 20,903.45, 31,358.24 and 9,811.27 is: 14,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,903.45 : 31,358.24 = 9,811.27 : x
  2. Step 2: Convert to fraction form
    20,903.45/31,358.24 = 9,811.27/x
  3. Step 3: Cross multiply
    20,903.45x = 31,358.24 × 9,811.27
  4. Step 4: Simplify right side
    20,903.45x = 307,663,953.52
  5. Step 5: Solve for x
    x = 307,663,953.52/20,903.45
  6. Step 6: Final answer
    x = 14,718.33

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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.