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Finding the Fourth Proportional to 14,517.66, 21,780.24 and 4,657.03

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Solution

The fourth proportional to 14,517.66, 21,780.24 and 4,657.03 is: 6,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.66 : 21,780.24 = 4,657.03 : x
  2. Step 2: Convert to fraction form
    14,517.66/21,780.24 = 4,657.03/x
  3. Step 3: Cross multiply
    14,517.66x = 21,780.24 × 4,657.03
  4. Step 4: Simplify right side
    14,517.66x = 101,431,185.37
  5. Step 5: Solve for x
    x = 101,431,185.37/14,517.66
  6. Step 6: Final answer
    x = 6,986.74

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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.