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Finding the Fourth Proportional to 13,620.90, 18,797.70 and 10,257.78

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Solution

The fourth proportional to 13,620.90, 18,797.70 and 10,257.78 is: 14,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620.90 : 18,797.70 = 10,257.78 : x
  2. Step 2: Convert to fraction form
    13,620.90/18,797.70 = 10,257.78/x
  3. Step 3: Cross multiply
    13,620.90x = 18,797.70 × 10,257.78
  4. Step 4: Simplify right side
    13,620.90x = 192,822,671.11
  5. Step 5: Solve for x
    x = 192,822,671.11/13,620.90
  6. Step 6: Final answer
    x = 14,156.38

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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.