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Finding the Fourth Proportional to 13,882.27, 19,171.52 and 8,848.86

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Solution

The fourth proportional to 13,882.27, 19,171.52 and 8,848.86 is: 12,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.27 : 19,171.52 = 8,848.86 : x
  2. Step 2: Convert to fraction form
    13,882.27/19,171.52 = 8,848.86/x
  3. Step 3: Cross multiply
    13,882.27x = 19,171.52 × 8,848.86
  4. Step 4: Simplify right side
    13,882.27x = 169,645,956.37
  5. Step 5: Solve for x
    x = 169,645,956.37/13,882.27
  6. Step 6: Final answer
    x = 12,220.34

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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.