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Finding the Fourth Proportional to 13,993.84, 19,308 and 11,336.26

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Solution

The fourth proportional to 13,993.84, 19,308 and 11,336.26 is: 15,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.84 : 19,308 = 11,336.26 : x
  2. Step 2: Convert to fraction form
    13,993.84/19,308 = 11,336.26/x
  3. Step 3: Cross multiply
    13,993.84x = 19,308 × 11,336.26
  4. Step 4: Simplify right side
    13,993.84x = 218,880,508.08
  5. Step 5: Solve for x
    x = 218,880,508.08/13,993.84
  6. Step 6: Final answer
    x = 15,641.20

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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.