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Finding the Fourth Proportional to 21,013.98, 31,522.05 and 5,431.74

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Solution

The fourth proportional to 21,013.98, 31,522.05 and 5,431.74 is: 8,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.98 : 31,522.05 = 5,431.74 : x
  2. Step 2: Convert to fraction form
    21,013.98/31,522.05 = 5,431.74/x
  3. Step 3: Cross multiply
    21,013.98x = 31,522.05 × 5,431.74
  4. Step 4: Simplify right side
    21,013.98x = 171,219,579.87
  5. Step 5: Solve for x
    x = 171,219,579.87/21,013.98
  6. Step 6: Final answer
    x = 8,147.89

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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.