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Finding the Fourth Proportional to 14,053.24, 21,082.90 and 7,478.46

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Solution

The fourth proportional to 14,053.24, 21,082.90 and 7,478.46 is: 11,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.24 : 21,082.90 = 7,478.46 : x
  2. Step 2: Convert to fraction form
    14,053.24/21,082.90 = 7,478.46/x
  3. Step 3: Cross multiply
    14,053.24x = 21,082.90 × 7,478.46
  4. Step 4: Simplify right side
    14,053.24x = 157,667,624.33
  5. Step 5: Solve for x
    x = 157,667,624.33/14,053.24
  6. Step 6: Final answer
    x = 11,219.31

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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.