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Finding the Fourth Proportional to 13,054.09, 19,591.53 and 4,736.49

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Solution

The fourth proportional to 13,054.09, 19,591.53 and 4,736.49 is: 7,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.09 : 19,591.53 = 4,736.49 : x
  2. Step 2: Convert to fraction form
    13,054.09/19,591.53 = 4,736.49/x
  3. Step 3: Cross multiply
    13,054.09x = 19,591.53 × 4,736.49
  4. Step 4: Simplify right side
    13,054.09x = 92,795,062.25
  5. Step 5: Solve for x
    x = 92,795,062.25/13,054.09
  6. Step 6: Final answer
    x = 7,108.51

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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.