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Finding the Fourth Proportional to 17,084.40, 25,583.40 and 13,628.40

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Solution

The fourth proportional to 17,084.40, 25,583.40 and 13,628.40 is: 20,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.40 : 25,583.40 = 13,628.40 : x
  2. Step 2: Convert to fraction form
    17,084.40/25,583.40 = 13,628.40/x
  3. Step 3: Cross multiply
    17,084.40x = 25,583.40 × 13,628.40
  4. Step 4: Simplify right side
    17,084.40x = 348,660,808.56
  5. Step 5: Solve for x
    x = 348,660,808.56/17,084.40
  6. Step 6: Final answer
    x = 20,408.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.