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Finding the Fourth Proportional to 21,473.64, 32,184.02 and 10,234.89

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Solution

The fourth proportional to 21,473.64, 32,184.02 and 10,234.89 is: 15,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,473.64 : 32,184.02 = 10,234.89 : x
  2. Step 2: Convert to fraction form
    21,473.64/32,184.02 = 10,234.89/x
  3. Step 3: Cross multiply
    21,473.64x = 32,184.02 × 10,234.89
  4. Step 4: Simplify right side
    21,473.64x = 329,399,930.05
  5. Step 5: Solve for x
    x = 329,399,930.05/21,473.64
  6. Step 6: Final answer
    x = 15,339.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.