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Finding the Fourth Proportional to 13,980.27, 20,974.16 and 6,084.49

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Solution

The fourth proportional to 13,980.27, 20,974.16 and 6,084.49 is: 9,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.27 : 20,974.16 = 6,084.49 : x
  2. Step 2: Convert to fraction form
    13,980.27/20,974.16 = 6,084.49/x
  3. Step 3: Cross multiply
    13,980.27x = 20,974.16 × 6,084.49
  4. Step 4: Simplify right side
    13,980.27x = 127,616,931.49
  5. Step 5: Solve for x
    x = 127,616,931.49/13,980.27
  6. Step 6: Final answer
    x = 9,128.36

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