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Finding the Fourth Proportional to 13,471.33, 20,225.63 and 9,301.05

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Solution

The fourth proportional to 13,471.33, 20,225.63 and 9,301.05 is: 13,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.33 : 20,225.63 = 9,301.05 : x
  2. Step 2: Convert to fraction form
    13,471.33/20,225.63 = 9,301.05/x
  3. Step 3: Cross multiply
    13,471.33x = 20,225.63 × 9,301.05
  4. Step 4: Simplify right side
    13,471.33x = 188,119,595.91
  5. Step 5: Solve for x
    x = 188,119,595.91/13,471.33
  6. Step 6: Final answer
    x = 13,964.44

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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.