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Finding the Fourth Proportional to 20,970, 28,938.60 and 11,538.36

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Solution

The fourth proportional to 20,970, 28,938.60 and 11,538.36 is: 15,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970 : 28,938.60 = 11,538.36 : x
  2. Step 2: Convert to fraction form
    20,970/28,938.60 = 11,538.36/x
  3. Step 3: Cross multiply
    20,970x = 28,938.60 × 11,538.36
  4. Step 4: Simplify right side
    20,970x = 333,903,984.70
  5. Step 5: Solve for x
    x = 333,903,984.70/20,970
  6. Step 6: Final answer
    x = 15,922.94

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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.