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Finding the Fourth Proportional to 19,771.36, 29,656.18 and 5,731.08

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Solution

The fourth proportional to 19,771.36, 29,656.18 and 5,731.08 is: 8,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.36 : 29,656.18 = 5,731.08 : x
  2. Step 2: Convert to fraction form
    19,771.36/29,656.18 = 5,731.08/x
  3. Step 3: Cross multiply
    19,771.36x = 29,656.18 × 5,731.08
  4. Step 4: Simplify right side
    19,771.36x = 169,961,940.07
  5. Step 5: Solve for x
    x = 169,961,940.07/19,771.36
  6. Step 6: Final answer
    x = 8,596.37

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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.