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Finding the Fourth Proportional to 21,013.68, 31,522.28 and 5,431.60

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Solution

The fourth proportional to 21,013.68, 31,522.28 and 5,431.60 is: 8,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.68 : 31,522.28 = 5,431.60 : x
  2. Step 2: Convert to fraction form
    21,013.68/31,522.28 = 5,431.60/x
  3. Step 3: Cross multiply
    21,013.68x = 31,522.28 × 5,431.60
  4. Step 4: Simplify right side
    21,013.68x = 171,216,416.05
  5. Step 5: Solve for x
    x = 171,216,416.05/21,013.68
  6. Step 6: Final answer
    x = 8,147.85

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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.