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Finding the Fourth Proportional to 20,674.34, 28,518.41 and 13,005.39

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Solution

The fourth proportional to 20,674.34, 28,518.41 and 13,005.39 is: 17,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674.34 : 28,518.41 = 13,005.39 : x
  2. Step 2: Convert to fraction form
    20,674.34/28,518.41 = 13,005.39/x
  3. Step 3: Cross multiply
    20,674.34x = 28,518.41 × 13,005.39
  4. Step 4: Simplify right side
    20,674.34x = 370,893,044.23
  5. Step 5: Solve for x
    x = 370,893,044.23/20,674.34
  6. Step 6: Final answer
    x = 17,939.78

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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.