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Finding the Fourth Proportional to 21,432.33, 29,575.80 and 12,000.42

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Solution

The fourth proportional to 21,432.33, 29,575.80 and 12,000.42 is: 16,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,432.33 : 29,575.80 = 12,000.42 : x
  2. Step 2: Convert to fraction form
    21,432.33/29,575.80 = 12,000.42/x
  3. Step 3: Cross multiply
    21,432.33x = 29,575.80 × 12,000.42
  4. Step 4: Simplify right side
    21,432.33x = 354,922,021.84
  5. Step 5: Solve for x
    x = 354,922,021.84/21,432.33
  6. Step 6: Final answer
    x = 16,560.12

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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.