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Finding the Fourth Proportional to 12,720.96, 19,081.44 and 5,797.44

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Solution

The fourth proportional to 12,720.96, 19,081.44 and 5,797.44 is: 8,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.96 : 19,081.44 = 5,797.44 : x
  2. Step 2: Convert to fraction form
    12,720.96/19,081.44 = 5,797.44/x
  3. Step 3: Cross multiply
    12,720.96x = 19,081.44 × 5,797.44
  4. Step 4: Simplify right side
    12,720.96x = 110,623,503.51
  5. Step 5: Solve for x
    x = 110,623,503.51/12,720.96
  6. Step 6: Final answer
    x = 8,696.16

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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.