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Finding the Fourth Proportional to 19,969.78, 27,557.94 and 11,018.14

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Solution

The fourth proportional to 19,969.78, 27,557.94 and 11,018.14 is: 15,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969.78 : 27,557.94 = 11,018.14 : x
  2. Step 2: Convert to fraction form
    19,969.78/27,557.94 = 11,018.14/x
  3. Step 3: Cross multiply
    19,969.78x = 27,557.94 × 11,018.14
  4. Step 4: Simplify right side
    19,969.78x = 303,637,241.03
  5. Step 5: Solve for x
    x = 303,637,241.03/19,969.78
  6. Step 6: Final answer
    x = 15,204.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.