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Finding the Fourth Proportional to 23,740, 32,761.74 and 15,371.08

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Solution

The fourth proportional to 23,740, 32,761.74 and 15,371.08 is: 21,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,740 : 32,761.74 = 15,371.08 : x
  2. Step 2: Convert to fraction form
    23,740/32,761.74 = 15,371.08/x
  3. Step 3: Cross multiply
    23,740x = 32,761.74 × 15,371.08
  4. Step 4: Simplify right side
    23,740x = 503,583,326.48
  5. Step 5: Solve for x
    x = 503,583,326.48/23,740
  6. Step 6: Final answer
    x = 21,212.44

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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.