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Finding the Fourth Proportional to 13,778.30, 19,015.53 and 7,809.32

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Solution

The fourth proportional to 13,778.30, 19,015.53 and 7,809.32 is: 10,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.30 : 19,015.53 = 7,809.32 : x
  2. Step 2: Convert to fraction form
    13,778.30/19,015.53 = 7,809.32/x
  3. Step 3: Cross multiply
    13,778.30x = 19,015.53 × 7,809.32
  4. Step 4: Simplify right side
    13,778.30x = 148,498,406.28
  5. Step 5: Solve for x
    x = 148,498,406.28/13,778.30
  6. Step 6: Final answer
    x = 10,777.71

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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.