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Finding the Fourth Proportional to 13,051.79, 19,577.51 and 3,191.15

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Solution

The fourth proportional to 13,051.79, 19,577.51 and 3,191.15 is: 4,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.79 : 19,577.51 = 3,191.15 : x
  2. Step 2: Convert to fraction form
    13,051.79/19,577.51 = 3,191.15/x
  3. Step 3: Cross multiply
    13,051.79x = 19,577.51 × 3,191.15
  4. Step 4: Simplify right side
    13,051.79x = 62,474,755.08
  5. Step 5: Solve for x
    x = 62,474,755.08/13,051.79
  6. Step 6: Final answer
    x = 4,786.68

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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.