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Finding the Fourth Proportional to 13,853.76, 19,119.17 and 7,885.43

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Solution

The fourth proportional to 13,853.76, 19,119.17 and 7,885.43 is: 10,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.76 : 19,119.17 = 7,885.43 : x
  2. Step 2: Convert to fraction form
    13,853.76/19,119.17 = 7,885.43/x
  3. Step 3: Cross multiply
    13,853.76x = 19,119.17 × 7,885.43
  4. Step 4: Simplify right side
    13,853.76x = 150,762,828.15
  5. Step 5: Solve for x
    x = 150,762,828.15/13,853.76
  6. Step 6: Final answer
    x = 10,882.45

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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.