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Finding the Fourth Proportional to 21,431.66, 29,576.91 and 12,000.14

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Solution

The fourth proportional to 21,431.66, 29,576.91 and 12,000.14 is: 16,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.66 : 29,576.91 = 12,000.14 : x
  2. Step 2: Convert to fraction form
    21,431.66/29,576.91 = 12,000.14/x
  3. Step 3: Cross multiply
    21,431.66x = 29,576.91 × 12,000.14
  4. Step 4: Simplify right side
    21,431.66x = 354,927,060.77
  5. Step 5: Solve for x
    x = 354,927,060.77/21,431.66
  6. Step 6: Final answer
    x = 16,560.88

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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.