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Finding the Fourth Proportional to 23,043.66, 31,783.86 and 15,383.07

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Solution

The fourth proportional to 23,043.66, 31,783.86 and 15,383.07 is: 21,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,043.66 : 31,783.86 = 15,383.07 : x
  2. Step 2: Convert to fraction form
    23,043.66/31,783.86 = 15,383.07/x
  3. Step 3: Cross multiply
    23,043.66x = 31,783.86 × 15,383.07
  4. Step 4: Simplify right side
    23,043.66x = 488,933,343.25
  5. Step 5: Solve for x
    x = 488,933,343.25/23,043.66
  6. Step 6: Final answer
    x = 21,217.69

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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.