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Finding the Fourth Proportional to 18,419.50, 25,419.18 and 10,036

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Solution

The fourth proportional to 18,419.50, 25,419.18 and 10,036 is: 13,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,419.50 : 25,419.18 = 10,036 : x
  2. Step 2: Convert to fraction form
    18,419.50/25,419.18 = 10,036/x
  3. Step 3: Cross multiply
    18,419.50x = 25,419.18 × 10,036
  4. Step 4: Simplify right side
    18,419.50x = 255,106,890.48
  5. Step 5: Solve for x
    x = 255,106,890.48/18,419.50
  6. Step 6: Final answer
    x = 13,849.83

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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.