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Finding the Fourth Proportional to 18,522, 25,560.36 and 10,138.50

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Solution

The fourth proportional to 18,522, 25,560.36 and 10,138.50 is: 13,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522 : 25,560.36 = 10,138.50 : x
  2. Step 2: Convert to fraction form
    18,522/25,560.36 = 10,138.50/x
  3. Step 3: Cross multiply
    18,522x = 25,560.36 × 10,138.50
  4. Step 4: Simplify right side
    18,522x = 259,143,709.86
  5. Step 5: Solve for x
    x = 259,143,709.86/18,522
  6. Step 6: Final answer
    x = 13,991.13

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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.