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Finding the Fourth Proportional to 13,090.96, 19,645.08 and 5,699.44

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Solution

The fourth proportional to 13,090.96, 19,645.08 and 5,699.44 is: 8,552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.96 : 19,645.08 = 5,699.44 : x
  2. Step 2: Convert to fraction form
    13,090.96/19,645.08 = 5,699.44/x
  3. Step 3: Cross multiply
    13,090.96x = 19,645.08 × 5,699.44
  4. Step 4: Simplify right side
    13,090.96x = 111,965,954.76
  5. Step 5: Solve for x
    x = 111,965,954.76/13,090.96
  6. Step 6: Final answer
    x = 8,552.92

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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.