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Finding the Fourth Proportional to 12,830.72, 19,244.48 and 3,597.44

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Solution

The fourth proportional to 12,830.72, 19,244.48 and 3,597.44 is: 5,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.72 : 19,244.48 = 3,597.44 : x
  2. Step 2: Convert to fraction form
    12,830.72/19,244.48 = 3,597.44/x
  3. Step 3: Cross multiply
    12,830.72x = 19,244.48 × 3,597.44
  4. Step 4: Simplify right side
    12,830.72x = 69,230,862.13
  5. Step 5: Solve for x
    x = 69,230,862.13/12,830.72
  6. Step 6: Final answer
    x = 5,395.71

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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.