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Finding the Fourth Proportional to 19,887.41, 29,830.44 and 5,096.48

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Solution

The fourth proportional to 19,887.41, 29,830.44 and 5,096.48 is: 7,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,887.41 : 29,830.44 = 5,096.48 : x
  2. Step 2: Convert to fraction form
    19,887.41/29,830.44 = 5,096.48/x
  3. Step 3: Cross multiply
    19,887.41x = 29,830.44 × 5,096.48
  4. Step 4: Simplify right side
    19,887.41x = 152,030,110.81
  5. Step 5: Solve for x
    x = 152,030,110.81/19,887.41
  6. Step 6: Final answer
    x = 7,644.54

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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.