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Finding the Fourth Proportional to 21,433.43, 29,578.10 and 12,002.00

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Solution

The fourth proportional to 21,433.43, 29,578.10 and 12,002.00 is: 16,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,433.43 : 29,578.10 = 12,002.00 : x
  2. Step 2: Convert to fraction form
    21,433.43/29,578.10 = 12,002.00/x
  3. Step 3: Cross multiply
    21,433.43x = 29,578.10 × 12,002.00
  4. Step 4: Simplify right side
    21,433.43x = 354,996,148.30
  5. Step 5: Solve for x
    x = 354,996,148.30/21,433.43
  6. Step 6: Final answer
    x = 16,562.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.