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Finding the Fourth Proportional to 13,848.18, 20,735.82 and 8,288.34

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Solution

The fourth proportional to 13,848.18, 20,735.82 and 8,288.34 is: 12,410.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.18 : 20,735.82 = 8,288.34 : x
  2. Step 2: Convert to fraction form
    13,848.18/20,735.82 = 8,288.34/x
  3. Step 3: Cross multiply
    13,848.18x = 20,735.82 × 8,288.34
  4. Step 4: Simplify right side
    13,848.18x = 171,865,526.34
  5. Step 5: Solve for x
    x = 171,865,526.34/13,848.18
  6. Step 6: Final answer
    x = 12,410.69

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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.