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Finding the Fourth Proportional to 13,993.24, 19,310.02 and 8,020.70

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Solution

The fourth proportional to 13,993.24, 19,310.02 and 8,020.70 is: 11,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.24 : 19,310.02 = 8,020.70 : x
  2. Step 2: Convert to fraction form
    13,993.24/19,310.02 = 8,020.70/x
  3. Step 3: Cross multiply
    13,993.24x = 19,310.02 × 8,020.70
  4. Step 4: Simplify right side
    13,993.24x = 154,879,877.41
  5. Step 5: Solve for x
    x = 154,879,877.41/13,993.24
  6. Step 6: Final answer
    x = 11,068.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.