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Finding the Fourth Proportional to 13,019.30, 19,529.85 and 5,228.12

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Solution

The fourth proportional to 13,019.30, 19,529.85 and 5,228.12 is: 7,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.30 : 19,529.85 = 5,228.12 : x
  2. Step 2: Convert to fraction form
    13,019.30/19,529.85 = 5,228.12/x
  3. Step 3: Cross multiply
    13,019.30x = 19,529.85 × 5,228.12
  4. Step 4: Simplify right side
    13,019.30x = 102,104,301.73
  5. Step 5: Solve for x
    x = 102,104,301.73/13,019.30
  6. Step 6: Final answer
    x = 7,842.54

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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.