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Finding the Fourth Proportional to 19,356.32, 29,035.82 and 7,669.50

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Solution

The fourth proportional to 19,356.32, 29,035.82 and 7,669.50 is: 11,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,356.32 : 29,035.82 = 7,669.50 : x
  2. Step 2: Convert to fraction form
    19,356.32/29,035.82 = 7,669.50/x
  3. Step 3: Cross multiply
    19,356.32x = 29,035.82 × 7,669.50
  4. Step 4: Simplify right side
    19,356.32x = 222,690,240.66
  5. Step 5: Solve for x
    x = 222,690,240.66/19,356.32
  6. Step 6: Final answer
    x = 11,504.78

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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.