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Finding the Fourth Proportional to 13,885.83, 19,162.92 and 7,598.21

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Solution

The fourth proportional to 13,885.83, 19,162.92 and 7,598.21 is: 10,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.83 : 19,162.92 = 7,598.21 : x
  2. Step 2: Convert to fraction form
    13,885.83/19,162.92 = 7,598.21/x
  3. Step 3: Cross multiply
    13,885.83x = 19,162.92 × 7,598.21
  4. Step 4: Simplify right side
    13,885.83x = 145,603,794.56
  5. Step 5: Solve for x
    x = 145,603,794.56/13,885.83
  6. Step 6: Final answer
    x = 10,485.78

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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.