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Finding the Fourth Proportional to 21,431.52, 29,575.50 and 12,000

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Solution

The fourth proportional to 21,431.52, 29,575.50 and 12,000 is: 16,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.52 : 29,575.50 = 12,000 : x
  2. Step 2: Convert to fraction form
    21,431.52/29,575.50 = 12,000/x
  3. Step 3: Cross multiply
    21,431.52x = 29,575.50 × 12,000
  4. Step 4: Simplify right side
    21,431.52x = 354,906,000
  5. Step 5: Solve for x
    x = 354,906,000/21,431.52
  6. Step 6: Final answer
    x = 16,560.00

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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.