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Finding the Fourth Proportional to 13,191.93, 19,788.92 and 3,832.10

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Solution

The fourth proportional to 13,191.93, 19,788.92 and 3,832.10 is: 5,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.93 : 19,788.92 = 3,832.10 : x
  2. Step 2: Convert to fraction form
    13,191.93/19,788.92 = 3,832.10/x
  3. Step 3: Cross multiply
    13,191.93x = 19,788.92 × 3,832.10
  4. Step 4: Simplify right side
    13,191.93x = 75,833,129.91
  5. Step 5: Solve for x
    x = 75,833,129.91/13,191.93
  6. Step 6: Final answer
    x = 5,748.45

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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.