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Finding the Fourth Proportional to 13,782.48, 19,019.97 and 7,494.90

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Solution

The fourth proportional to 13,782.48, 19,019.97 and 7,494.90 is: 10,343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.48 : 19,019.97 = 7,494.90 : x
  2. Step 2: Convert to fraction form
    13,782.48/19,019.97 = 7,494.90/x
  3. Step 3: Cross multiply
    13,782.48x = 19,019.97 × 7,494.90
  4. Step 4: Simplify right side
    13,782.48x = 142,552,773.15
  5. Step 5: Solve for x
    x = 142,552,773.15/13,782.48
  6. Step 6: Final answer
    x = 10,343.04

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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.