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Finding the Fourth Proportional to 24,537.21, 36,810.47 and 7,896.03

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Solution

The fourth proportional to 24,537.21, 36,810.47 and 7,896.03 is: 11,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.21 : 36,810.47 = 7,896.03 : x
  2. Step 2: Convert to fraction form
    24,537.21/36,810.47 = 7,896.03/x
  3. Step 3: Cross multiply
    24,537.21x = 36,810.47 × 7,896.03
  4. Step 4: Simplify right side
    24,537.21x = 290,656,575.43
  5. Step 5: Solve for x
    x = 290,656,575.43/24,537.21
  6. Step 6: Final answer
    x = 11,845.54

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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.