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Finding the Fourth Proportional to 18,419, 25,418.50 and 10,035.50

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Solution

The fourth proportional to 18,419, 25,418.50 and 10,035.50 is: 13,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,419 : 25,418.50 = 10,035.50 : x
  2. Step 2: Convert to fraction form
    18,419/25,418.50 = 10,035.50/x
  3. Step 3: Cross multiply
    18,419x = 25,418.50 × 10,035.50
  4. Step 4: Simplify right side
    18,419x = 255,087,356.75
  5. Step 5: Solve for x
    x = 255,087,356.75/18,419
  6. Step 6: Final answer
    x = 13,849.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.