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Finding the Fourth Proportional to 13,323.68, 18,383.36 and 9,780.64

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Solution

The fourth proportional to 13,323.68, 18,383.36 and 9,780.64 is: 13,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.68 : 18,383.36 = 9,780.64 : x
  2. Step 2: Convert to fraction form
    13,323.68/18,383.36 = 9,780.64/x
  3. Step 3: Cross multiply
    13,323.68x = 18,383.36 × 9,780.64
  4. Step 4: Simplify right side
    13,323.68x = 179,801,026.15
  5. Step 5: Solve for x
    x = 179,801,026.15/13,323.68
  6. Step 6: Final answer
    x = 13,494.85

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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.