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Finding the Fourth Proportional to 21,013.44, 31,520.07 and 5,431.02

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Solution

The fourth proportional to 21,013.44, 31,520.07 and 5,431.02 is: 8,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.44 : 31,520.07 = 5,431.02 : x
  2. Step 2: Convert to fraction form
    21,013.44/31,520.07 = 5,431.02/x
  3. Step 3: Cross multiply
    21,013.44x = 31,520.07 × 5,431.02
  4. Step 4: Simplify right side
    21,013.44x = 171,186,130.57
  5. Step 5: Solve for x
    x = 171,186,130.57/21,013.44
  6. Step 6: Final answer
    x = 8,146.51

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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.