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Finding the Fourth Proportional to 13,804.12, 20,660.64 and 9,793.84

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Solution

The fourth proportional to 13,804.12, 20,660.64 and 9,793.84 is: 14,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.12 : 20,660.64 = 9,793.84 : x
  2. Step 2: Convert to fraction form
    13,804.12/20,660.64 = 9,793.84/x
  3. Step 3: Cross multiply
    13,804.12x = 20,660.64 × 9,793.84
  4. Step 4: Simplify right side
    13,804.12x = 202,347,002.46
  5. Step 5: Solve for x
    x = 202,347,002.46/13,804.12
  6. Step 6: Final answer
    x = 14,658.45

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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.