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Finding the Fourth Proportional to 13,400.34, 20,101.14 and 11,056

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Solution

The fourth proportional to 13,400.34, 20,101.14 and 11,056 is: 16,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.34 : 20,101.14 = 11,056 : x
  2. Step 2: Convert to fraction form
    13,400.34/20,101.14 = 11,056/x
  3. Step 3: Cross multiply
    13,400.34x = 20,101.14 × 11,056
  4. Step 4: Simplify right side
    13,400.34x = 222,238,203.84
  5. Step 5: Solve for x
    x = 222,238,203.84/13,400.34
  6. Step 6: Final answer
    x = 16,584.52

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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.