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Finding the Fourth Proportional to 23,689.83, 32,689.32 and 13,076.81

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Solution

The fourth proportional to 23,689.83, 32,689.32 and 13,076.81 is: 18,044.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.83 : 32,689.32 = 13,076.81 : x
  2. Step 2: Convert to fraction form
    23,689.83/32,689.32 = 13,076.81/x
  3. Step 3: Cross multiply
    23,689.83x = 32,689.32 × 13,076.81
  4. Step 4: Simplify right side
    23,689.83x = 427,472,010.33
  5. Step 5: Solve for x
    x = 427,472,010.33/23,689.83
  6. Step 6: Final answer
    x = 18,044.53

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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.