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Finding the Fourth Proportional to 13,782.06, 19,018.80 and 7,494.39

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Solution

The fourth proportional to 13,782.06, 19,018.80 and 7,494.39 is: 10,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.06 : 19,018.80 = 7,494.39 : x
  2. Step 2: Convert to fraction form
    13,782.06/19,018.80 = 7,494.39/x
  3. Step 3: Cross multiply
    13,782.06x = 19,018.80 × 7,494.39
  4. Step 4: Simplify right side
    13,782.06x = 142,534,304.53
  5. Step 5: Solve for x
    x = 142,534,304.53/13,782.06
  6. Step 6: Final answer
    x = 10,342.02

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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.