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Finding the Fourth Proportional to 18,671, 25,765.98 and 10,288.04

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Solution

The fourth proportional to 18,671, 25,765.98 and 10,288.04 is: 14,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,671 : 25,765.98 = 10,288.04 : x
  2. Step 2: Convert to fraction form
    18,671/25,765.98 = 10,288.04/x
  3. Step 3: Cross multiply
    18,671x = 25,765.98 × 10,288.04
  4. Step 4: Simplify right side
    18,671x = 265,081,432.88
  5. Step 5: Solve for x
    x = 265,081,432.88/18,671
  6. Step 6: Final answer
    x = 14,197.50

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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.