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Finding the Fourth Proportional to 13,098.88, 19,651.83 and 5,303.44

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Solution

The fourth proportional to 13,098.88, 19,651.83 and 5,303.44 is: 7,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.88 : 19,651.83 = 5,303.44 : x
  2. Step 2: Convert to fraction form
    13,098.88/19,651.83 = 5,303.44/x
  3. Step 3: Cross multiply
    13,098.88x = 19,651.83 × 5,303.44
  4. Step 4: Simplify right side
    13,098.88x = 104,222,301.30
  5. Step 5: Solve for x
    x = 104,222,301.30/13,098.88
  6. Step 6: Final answer
    x = 7,956.58

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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.