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Finding the Fourth Proportional to 13,003.70, 19,502.70 and 4,119.68

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Solution

The fourth proportional to 13,003.70, 19,502.70 and 4,119.68 is: 6,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.70 : 19,502.70 = 4,119.68 : x
  2. Step 2: Convert to fraction form
    13,003.70/19,502.70 = 4,119.68/x
  3. Step 3: Cross multiply
    13,003.70x = 19,502.70 × 4,119.68
  4. Step 4: Simplify right side
    13,003.70x = 80,344,883.14
  5. Step 5: Solve for x
    x = 80,344,883.14/13,003.70
  6. Step 6: Final answer
    x = 6,178.62

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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.