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Finding the Fourth Proportional to 19,710.98, 27,201.75 and 11,214.32

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Solution

The fourth proportional to 19,710.98, 27,201.75 and 11,214.32 is: 15,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.98 : 27,201.75 = 11,214.32 : x
  2. Step 2: Convert to fraction form
    19,710.98/27,201.75 = 11,214.32/x
  3. Step 3: Cross multiply
    19,710.98x = 27,201.75 × 11,214.32
  4. Step 4: Simplify right side
    19,710.98x = 305,048,993.05
  5. Step 5: Solve for x
    x = 305,048,993.05/19,710.98
  6. Step 6: Final answer
    x = 15,476.10

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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.