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Finding the Fourth Proportional to 21,014.16, 31,520.16 and 5,431.38

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Solution

The fourth proportional to 21,014.16, 31,520.16 and 5,431.38 is: 8,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014.16 : 31,520.16 = 5,431.38 : x
  2. Step 2: Convert to fraction form
    21,014.16/31,520.16 = 5,431.38/x
  3. Step 3: Cross multiply
    21,014.16x = 31,520.16 × 5,431.38
  4. Step 4: Simplify right side
    21,014.16x = 171,197,966.62
  5. Step 5: Solve for x
    x = 171,197,966.62/21,014.16
  6. Step 6: Final answer
    x = 8,146.79

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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.