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Finding the Fourth Proportional to 13,483.97, 20,226 and 4,123.95

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Solution

The fourth proportional to 13,483.97, 20,226 and 4,123.95 is: 6,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.97 : 20,226 = 4,123.95 : x
  2. Step 2: Convert to fraction form
    13,483.97/20,226 = 4,123.95/x
  3. Step 3: Cross multiply
    13,483.97x = 20,226 × 4,123.95
  4. Step 4: Simplify right side
    13,483.97x = 83,411,012.70
  5. Step 5: Solve for x
    x = 83,411,012.70/13,483.97
  6. Step 6: Final answer
    x = 6,185.94

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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.