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Finding the Fourth Proportional to 13,146.39, 19,707.84 and 5,744.99

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Solution

The fourth proportional to 13,146.39, 19,707.84 and 5,744.99 is: 8,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.39 : 19,707.84 = 5,744.99 : x
  2. Step 2: Convert to fraction form
    13,146.39/19,707.84 = 5,744.99/x
  3. Step 3: Cross multiply
    13,146.39x = 19,707.84 × 5,744.99
  4. Step 4: Simplify right side
    13,146.39x = 113,221,282.13
  5. Step 5: Solve for x
    x = 113,221,282.13/13,146.39
  6. Step 6: Final answer
    x = 8,612.35

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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.