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Finding the Fourth Proportional to 19,471.24, 29,202.54 and 7,781.32

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Solution

The fourth proportional to 19,471.24, 29,202.54 and 7,781.32 is: 11,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.24 : 29,202.54 = 7,781.32 : x
  2. Step 2: Convert to fraction form
    19,471.24/29,202.54 = 7,781.32/x
  3. Step 3: Cross multiply
    19,471.24x = 29,202.54 × 7,781.32
  4. Step 4: Simplify right side
    19,471.24x = 227,234,308.55
  5. Step 5: Solve for x
    x = 227,234,308.55/19,471.24
  6. Step 6: Final answer
    x = 11,670.25

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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.