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Finding the Fourth Proportional to 13,705.40, 20,548.92 and 6,299.84

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Solution

The fourth proportional to 13,705.40, 20,548.92 and 6,299.84 is: 9,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.40 : 20,548.92 = 6,299.84 : x
  2. Step 2: Convert to fraction form
    13,705.40/20,548.92 = 6,299.84/x
  3. Step 3: Cross multiply
    13,705.40x = 20,548.92 × 6,299.84
  4. Step 4: Simplify right side
    13,705.40x = 129,454,908.17
  5. Step 5: Solve for x
    x = 129,454,908.17/13,705.40
  6. Step 6: Final answer
    x = 9,445.54

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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.