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Finding the Fourth Proportional to 21,431.30, 29,576.13 and 12,000.02

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Solution

The fourth proportional to 21,431.30, 29,576.13 and 12,000.02 is: 16,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.30 : 29,576.13 = 12,000.02 : x
  2. Step 2: Convert to fraction form
    21,431.30/29,576.13 = 12,000.02/x
  3. Step 3: Cross multiply
    21,431.30x = 29,576.13 × 12,000.02
  4. Step 4: Simplify right side
    21,431.30x = 354,914,151.52
  5. Step 5: Solve for x
    x = 354,914,151.52/21,431.30
  6. Step 6: Final answer
    x = 16,560.55

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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.