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Finding the Fourth Proportional to 13,019.58, 19,537.53 and 8,098.83

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Solution

The fourth proportional to 13,019.58, 19,537.53 and 8,098.83 is: 12,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.58 : 19,537.53 = 8,098.83 : x
  2. Step 2: Convert to fraction form
    13,019.58/19,537.53 = 8,098.83/x
  3. Step 3: Cross multiply
    13,019.58x = 19,537.53 × 8,098.83
  4. Step 4: Simplify right side
    13,019.58x = 158,231,134.09
  5. Step 5: Solve for x
    x = 158,231,134.09/13,019.58
  6. Step 6: Final answer
    x = 12,153.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.