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Finding the Fourth Proportional to 21,524.86, 29,704.89 and 12,094.30

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Solution

The fourth proportional to 21,524.86, 29,704.89 and 12,094.30 is: 16,690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.86 : 29,704.89 = 12,094.30 : x
  2. Step 2: Convert to fraction form
    21,524.86/29,704.89 = 12,094.30/x
  3. Step 3: Cross multiply
    21,524.86x = 29,704.89 × 12,094.30
  4. Step 4: Simplify right side
    21,524.86x = 359,259,851.13
  5. Step 5: Solve for x
    x = 359,259,851.13/21,524.86
  6. Step 6: Final answer
    x = 16,690.46

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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.