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Finding the Fourth Proportional to 23,874, 32,954.94 and 20,503.24

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Solution

The fourth proportional to 23,874, 32,954.94 and 20,503.24 is: 28,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874 : 32,954.94 = 20,503.24 : x
  2. Step 2: Convert to fraction form
    23,874/32,954.94 = 20,503.24/x
  3. Step 3: Cross multiply
    23,874x = 32,954.94 × 20,503.24
  4. Step 4: Simplify right side
    23,874x = 675,683,044.01
  5. Step 5: Solve for x
    x = 675,683,044.01/23,874
  6. Step 6: Final answer
    x = 28,302.05

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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.