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Finding the Fourth Proportional to 12,941.58, 19,396.16 and 5,537.37

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Solution

The fourth proportional to 12,941.58, 19,396.16 and 5,537.37 is: 8,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.58 : 19,396.16 = 5,537.37 : x
  2. Step 2: Convert to fraction form
    12,941.58/19,396.16 = 5,537.37/x
  3. Step 3: Cross multiply
    12,941.58x = 19,396.16 × 5,537.37
  4. Step 4: Simplify right side
    12,941.58x = 107,403,714.50
  5. Step 5: Solve for x
    x = 107,403,714.50/12,941.58
  6. Step 6: Final answer
    x = 8,299.12

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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.