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Finding the Fourth Proportional to 15,735.57, 21,715.17 and 9,021.60

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Solution

The fourth proportional to 15,735.57, 21,715.17 and 9,021.60 is: 12,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.57 : 21,715.17 = 9,021.60 : x
  2. Step 2: Convert to fraction form
    15,735.57/21,715.17 = 9,021.60/x
  3. Step 3: Cross multiply
    15,735.57x = 21,715.17 × 9,021.60
  4. Step 4: Simplify right side
    15,735.57x = 195,905,577.67
  5. Step 5: Solve for x
    x = 195,905,577.67/15,735.57
  6. Step 6: Final answer
    x = 12,449.86

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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.