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Finding the Fourth Proportional to 19,970.82, 27,559.54 and 11,018.40

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Solution

The fourth proportional to 19,970.82, 27,559.54 and 11,018.40 is: 15,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.82 : 27,559.54 = 11,018.40 : x
  2. Step 2: Convert to fraction form
    19,970.82/27,559.54 = 11,018.40/x
  3. Step 3: Cross multiply
    19,970.82x = 27,559.54 × 11,018.40
  4. Step 4: Simplify right side
    19,970.82x = 303,662,035.54
  5. Step 5: Solve for x
    x = 303,662,035.54/19,970.82
  6. Step 6: Final answer
    x = 15,205.29

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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.