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Finding the Fourth Proportional to 20,975.40, 28,945.20 and 11,544

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Solution

The fourth proportional to 20,975.40, 28,945.20 and 11,544 is: 15,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,975.40 : 28,945.20 = 11,544 : x
  2. Step 2: Convert to fraction form
    20,975.40/28,945.20 = 11,544/x
  3. Step 3: Cross multiply
    20,975.40x = 28,945.20 × 11,544
  4. Step 4: Simplify right side
    20,975.40x = 334,143,388.80
  5. Step 5: Solve for x
    x = 334,143,388.80/20,975.40
  6. Step 6: Final answer
    x = 15,930.25

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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.