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Finding the Fourth Proportional to 21,000.20, 31,514.70 and 9,321.80

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Solution

The fourth proportional to 21,000.20, 31,514.70 and 9,321.80 is: 13,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.20 : 31,514.70 = 9,321.80 : x
  2. Step 2: Convert to fraction form
    21,000.20/31,514.70 = 9,321.80/x
  3. Step 3: Cross multiply
    21,000.20x = 31,514.70 × 9,321.80
  4. Step 4: Simplify right side
    21,000.20x = 293,773,730.46
  5. Step 5: Solve for x
    x = 293,773,730.46/21,000.20
  6. Step 6: Final answer
    x = 13,989.09

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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.