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Finding the Fourth Proportional to 19,782.56, 29,671.62 and 4,991.48

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Solution

The fourth proportional to 19,782.56, 29,671.62 and 4,991.48 is: 7,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.56 : 29,671.62 = 4,991.48 : x
  2. Step 2: Convert to fraction form
    19,782.56/29,671.62 = 4,991.48/x
  3. Step 3: Cross multiply
    19,782.56x = 29,671.62 × 4,991.48
  4. Step 4: Simplify right side
    19,782.56x = 148,105,297.80
  5. Step 5: Solve for x
    x = 148,105,297.80/19,782.56
  6. Step 6: Final answer
    x = 7,486.66

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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.