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Finding the Fourth Proportional to 13,023.65, 19,535.21 and 3,162.98

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Solution

The fourth proportional to 13,023.65, 19,535.21 and 3,162.98 is: 4,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.65 : 19,535.21 = 3,162.98 : x
  2. Step 2: Convert to fraction form
    13,023.65/19,535.21 = 3,162.98/x
  3. Step 3: Cross multiply
    13,023.65x = 19,535.21 × 3,162.98
  4. Step 4: Simplify right side
    13,023.65x = 61,789,523.41
  5. Step 5: Solve for x
    x = 61,789,523.41/13,023.65
  6. Step 6: Final answer
    x = 4,744.41

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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.