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Finding the Fourth Proportional to 13,518.50, 20,281 and 4,284.50

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Solution

The fourth proportional to 13,518.50, 20,281 and 4,284.50 is: 6,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.50 : 20,281 = 4,284.50 : x
  2. Step 2: Convert to fraction form
    13,518.50/20,281 = 4,284.50/x
  3. Step 3: Cross multiply
    13,518.50x = 20,281 × 4,284.50
  4. Step 4: Simplify right side
    13,518.50x = 86,893,944.50
  5. Step 5: Solve for x
    x = 86,893,944.50/13,518.50
  6. Step 6: Final answer
    x = 6,427.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.