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Finding the Fourth Proportional to 13,852.38, 20,766.98 and 6,453.02

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Solution

The fourth proportional to 13,852.38, 20,766.98 and 6,453.02 is: 9,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.38 : 20,766.98 = 6,453.02 : x
  2. Step 2: Convert to fraction form
    13,852.38/20,766.98 = 6,453.02/x
  3. Step 3: Cross multiply
    13,852.38x = 20,766.98 × 6,453.02
  4. Step 4: Simplify right side
    13,852.38x = 134,009,737.28
  5. Step 5: Solve for x
    x = 134,009,737.28/13,852.38
  6. Step 6: Final answer
    x = 9,674.13

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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.