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Finding the Fourth Proportional to 19,771.42, 29,656.27 and 5,731.15

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Solution

The fourth proportional to 19,771.42, 29,656.27 and 5,731.15 is: 8,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.42 : 29,656.27 = 5,731.15 : x
  2. Step 2: Convert to fraction form
    19,771.42/29,656.27 = 5,731.15/x
  3. Step 3: Cross multiply
    19,771.42x = 29,656.27 × 5,731.15
  4. Step 4: Simplify right side
    19,771.42x = 169,964,383.53
  5. Step 5: Solve for x
    x = 169,964,383.53/19,771.42
  6. Step 6: Final answer
    x = 8,596.47

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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.