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Finding the Fourth Proportional to 13,842.84, 20,647.56 and 13,427.82

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Solution

The fourth proportional to 13,842.84, 20,647.56 and 13,427.82 is: 20,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.84 : 20,647.56 = 13,427.82 : x
  2. Step 2: Convert to fraction form
    13,842.84/20,647.56 = 13,427.82/x
  3. Step 3: Cross multiply
    13,842.84x = 20,647.56 × 13,427.82
  4. Step 4: Simplify right side
    13,842.84x = 277,251,719.12
  5. Step 5: Solve for x
    x = 277,251,719.12/13,842.84
  6. Step 6: Final answer
    x = 20,028.53

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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.