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Finding the Fourth Proportional to 13,892.19, 19,170.02 and 7,842.11

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Solution

The fourth proportional to 13,892.19, 19,170.02 and 7,842.11 is: 10,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.19 : 19,170.02 = 7,842.11 : x
  2. Step 2: Convert to fraction form
    13,892.19/19,170.02 = 7,842.11/x
  3. Step 3: Cross multiply
    13,892.19x = 19,170.02 × 7,842.11
  4. Step 4: Simplify right side
    13,892.19x = 150,333,270.48
  5. Step 5: Solve for x
    x = 150,333,270.48/13,892.19
  6. Step 6: Final answer
    x = 10,821.42

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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.