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Finding the Fourth Proportional to 14,546.61, 21,821.17 and 4,016.63

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Solution

The fourth proportional to 14,546.61, 21,821.17 and 4,016.63 is: 6,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.61 : 21,821.17 = 4,016.63 : x
  2. Step 2: Convert to fraction form
    14,546.61/21,821.17 = 4,016.63/x
  3. Step 3: Cross multiply
    14,546.61x = 21,821.17 × 4,016.63
  4. Step 4: Simplify right side
    14,546.61x = 87,647,566.06
  5. Step 5: Solve for x
    x = 87,647,566.06/14,546.61
  6. Step 6: Final answer
    x = 6,025.29

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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.