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Finding the Fourth Proportional to 13,055.70, 19,488 and 11,218.62

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Solution

The fourth proportional to 13,055.70, 19,488 and 11,218.62 is: 16,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,055.70 : 19,488 = 11,218.62 : x
  2. Step 2: Convert to fraction form
    13,055.70/19,488 = 11,218.62/x
  3. Step 3: Cross multiply
    13,055.70x = 19,488 × 11,218.62
  4. Step 4: Simplify right side
    13,055.70x = 218,628,466.56
  5. Step 5: Solve for x
    x = 218,628,466.56/13,055.70
  6. Step 6: Final answer
    x = 16,745.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.