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Finding the Fourth Proportional to 13,793, 19,034.34 and 7,505.42

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Solution

The fourth proportional to 13,793, 19,034.34 and 7,505.42 is: 10,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793 : 19,034.34 = 7,505.42 : x
  2. Step 2: Convert to fraction form
    13,793/19,034.34 = 7,505.42/x
  3. Step 3: Cross multiply
    13,793x = 19,034.34 × 7,505.42
  4. Step 4: Simplify right side
    13,793x = 142,860,716.12
  5. Step 5: Solve for x
    x = 142,860,716.12/13,793
  6. Step 6: Final answer
    x = 10,357.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.