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Finding the Fourth Proportional to 14,704.30, 21,995.70 and 13,406.68

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Solution

The fourth proportional to 14,704.30, 21,995.70 and 13,406.68 is: 20,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.30 : 21,995.70 = 13,406.68 : x
  2. Step 2: Convert to fraction form
    14,704.30/21,995.70 = 13,406.68/x
  3. Step 3: Cross multiply
    14,704.30x = 21,995.70 × 13,406.68
  4. Step 4: Simplify right side
    14,704.30x = 294,889,311.28
  5. Step 5: Solve for x
    x = 294,889,311.28/14,704.30
  6. Step 6: Final answer
    x = 20,054.63

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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.