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Finding the Fourth Proportional to 13,986.25, 20,974.38 and 4,624.54

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Solution

The fourth proportional to 13,986.25, 20,974.38 and 4,624.54 is: 6,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.25 : 20,974.38 = 4,624.54 : x
  2. Step 2: Convert to fraction form
    13,986.25/20,974.38 = 4,624.54/x
  3. Step 3: Cross multiply
    13,986.25x = 20,974.38 × 4,624.54
  4. Step 4: Simplify right side
    13,986.25x = 96,996,885.50
  5. Step 5: Solve for x
    x = 96,996,885.50/13,986.25
  6. Step 6: Final answer
    x = 6,935.16

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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.