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Finding the Fourth Proportional to 23,383.32, 32,268.06 and 13,829.40

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Solution

The fourth proportional to 23,383.32, 32,268.06 and 13,829.40 is: 19,084.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.32 : 32,268.06 = 13,829.40 : x
  2. Step 2: Convert to fraction form
    23,383.32/32,268.06 = 13,829.40/x
  3. Step 3: Cross multiply
    23,383.32x = 32,268.06 × 13,829.40
  4. Step 4: Simplify right side
    23,383.32x = 446,247,908.96
  5. Step 5: Solve for x
    x = 446,247,908.96/23,383.32
  6. Step 6: Final answer
    x = 19,084.03

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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.