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Finding the Fourth Proportional to 13,081.96, 19,609.16 and 4,314.52

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Solution

The fourth proportional to 13,081.96, 19,609.16 and 4,314.52 is: 6,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.96 : 19,609.16 = 4,314.52 : x
  2. Step 2: Convert to fraction form
    13,081.96/19,609.16 = 4,314.52/x
  3. Step 3: Cross multiply
    13,081.96x = 19,609.16 × 4,314.52
  4. Step 4: Simplify right side
    13,081.96x = 84,604,113.00
  5. Step 5: Solve for x
    x = 84,604,113.00/13,081.96
  6. Step 6: Final answer
    x = 6,467.24

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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.