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Finding the Fourth Proportional to 20,612.34, 28,434.86 and 13,889.34

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Solution

The fourth proportional to 20,612.34, 28,434.86 and 13,889.34 is: 19,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,612.34 : 28,434.86 = 13,889.34 : x
  2. Step 2: Convert to fraction form
    20,612.34/28,434.86 = 13,889.34/x
  3. Step 3: Cross multiply
    20,612.34x = 28,434.86 × 13,889.34
  4. Step 4: Simplify right side
    20,612.34x = 394,941,438.39
  5. Step 5: Solve for x
    x = 394,941,438.39/20,612.34
  6. Step 6: Final answer
    x = 19,160.44

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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.