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Finding the Fourth Proportional to 19,731.50, 29,611.86 and 9,343.28

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Solution

The fourth proportional to 19,731.50, 29,611.86 and 9,343.28 is: 14,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731.50 : 29,611.86 = 9,343.28 : x
  2. Step 2: Convert to fraction form
    19,731.50/29,611.86 = 9,343.28/x
  3. Step 3: Cross multiply
    19,731.50x = 29,611.86 × 9,343.28
  4. Step 4: Simplify right side
    19,731.50x = 276,671,899.30
  5. Step 5: Solve for x
    x = 276,671,899.30/19,731.50
  6. Step 6: Final answer
    x = 14,021.84

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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.