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Finding the Fourth Proportional to 19,948.24, 29,927.47 and 7,468.44

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Solution

The fourth proportional to 19,948.24, 29,927.47 and 7,468.44 is: 11,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,948.24 : 29,927.47 = 7,468.44 : x
  2. Step 2: Convert to fraction form
    19,948.24/29,927.47 = 7,468.44/x
  3. Step 3: Cross multiply
    19,948.24x = 29,927.47 × 7,468.44
  4. Step 4: Simplify right side
    19,948.24x = 223,511,514.05
  5. Step 5: Solve for x
    x = 223,511,514.05/19,948.24
  6. Step 6: Final answer
    x = 11,204.57

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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.