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Finding the Fourth Proportional to 13,178.57, 19,763.06 and 3,816.05

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Solution

The fourth proportional to 13,178.57, 19,763.06 and 3,816.05 is: 5,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.57 : 19,763.06 = 3,816.05 : x
  2. Step 2: Convert to fraction form
    13,178.57/19,763.06 = 3,816.05/x
  3. Step 3: Cross multiply
    13,178.57x = 19,763.06 × 3,816.05
  4. Step 4: Simplify right side
    13,178.57x = 75,416,707.22
  5. Step 5: Solve for x
    x = 75,416,707.22/13,178.57
  6. Step 6: Final answer
    x = 5,722.68

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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.