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Finding the Fourth Proportional to 20,498.78, 28,283.10 and 12,538.10

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Solution

The fourth proportional to 20,498.78, 28,283.10 and 12,538.10 is: 17,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.78 : 28,283.10 = 12,538.10 : x
  2. Step 2: Convert to fraction form
    20,498.78/28,283.10 = 12,538.10/x
  3. Step 3: Cross multiply
    20,498.78x = 28,283.10 × 12,538.10
  4. Step 4: Simplify right side
    20,498.78x = 354,616,336.11
  5. Step 5: Solve for x
    x = 354,616,336.11/20,498.78
  6. Step 6: Final answer
    x = 17,299.39

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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.