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Finding the Fourth Proportional to 23,685.31, 32,685.99 and 13,074.96

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Solution

The fourth proportional to 23,685.31, 32,685.99 and 13,074.96 is: 18,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.31 : 32,685.99 = 13,074.96 : x
  2. Step 2: Convert to fraction form
    23,685.31/32,685.99 = 13,074.96/x
  3. Step 3: Cross multiply
    23,685.31x = 32,685.99 × 13,074.96
  4. Step 4: Simplify right side
    23,685.31x = 427,367,848.38
  5. Step 5: Solve for x
    x = 427,367,848.38/23,685.31
  6. Step 6: Final answer
    x = 18,043.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.