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Finding the Fourth Proportional to 15,605.50, 21,538 and 9,942.70

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Solution

The fourth proportional to 15,605.50, 21,538 and 9,942.70 is: 13,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.50 : 21,538 = 9,942.70 : x
  2. Step 2: Convert to fraction form
    15,605.50/21,538 = 9,942.70/x
  3. Step 3: Cross multiply
    15,605.50x = 21,538 × 9,942.70
  4. Step 4: Simplify right side
    15,605.50x = 214,145,872.60
  5. Step 5: Solve for x
    x = 214,145,872.60/15,605.50
  6. Step 6: Final answer
    x = 13,722.46

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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.