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Finding the Fourth Proportional to 23,157.84, 34,731.27 and 6,519.36

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Solution

The fourth proportional to 23,157.84, 34,731.27 and 6,519.36 is: 9,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.84 : 34,731.27 = 6,519.36 : x
  2. Step 2: Convert to fraction form
    23,157.84/34,731.27 = 6,519.36/x
  3. Step 3: Cross multiply
    23,157.84x = 34,731.27 × 6,519.36
  4. Step 4: Simplify right side
    23,157.84x = 226,425,652.39
  5. Step 5: Solve for x
    x = 226,425,652.39/23,157.84
  6. Step 6: Final answer
    x = 9,777.49

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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.