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Finding the Fourth Proportional to 14,351.46, 21,493.17 and 9,141.54

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Solution

The fourth proportional to 14,351.46, 21,493.17 and 9,141.54 is: 13,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351.46 : 21,493.17 = 9,141.54 : x
  2. Step 2: Convert to fraction form
    14,351.46/21,493.17 = 9,141.54/x
  3. Step 3: Cross multiply
    14,351.46x = 21,493.17 × 9,141.54
  4. Step 4: Simplify right side
    14,351.46x = 196,480,673.28
  5. Step 5: Solve for x
    x = 196,480,673.28/14,351.46
  6. Step 6: Final answer
    x = 13,690.64

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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.