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Finding the Fourth Proportional to 13,782.31, 19,019.73 and 7,494.82

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Solution

The fourth proportional to 13,782.31, 19,019.73 and 7,494.82 is: 10,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.31 : 19,019.73 = 7,494.82 : x
  2. Step 2: Convert to fraction form
    13,782.31/19,019.73 = 7,494.82/x
  3. Step 3: Cross multiply
    13,782.31x = 19,019.73 × 7,494.82
  4. Step 4: Simplify right side
    13,782.31x = 142,549,452.80
  5. Step 5: Solve for x
    x = 142,549,452.80/13,782.31
  6. Step 6: Final answer
    x = 10,342.93

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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.