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Finding the Fourth Proportional to 21,431.80, 29,576.82 and 12,000.16

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Solution

The fourth proportional to 21,431.80, 29,576.82 and 12,000.16 is: 16,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.80 : 29,576.82 = 12,000.16 : x
  2. Step 2: Convert to fraction form
    21,431.80/29,576.82 = 12,000.16/x
  3. Step 3: Cross multiply
    21,431.80x = 29,576.82 × 12,000.16
  4. Step 4: Simplify right side
    21,431.80x = 354,926,572.29
  5. Step 5: Solve for x
    x = 354,926,572.29/21,431.80
  6. Step 6: Final answer
    x = 16,560.74

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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.