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Finding the Fourth Proportional to 21,338.54, 32,014.66 and 8,864.54

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Solution

The fourth proportional to 21,338.54, 32,014.66 and 8,864.54 is: 13,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.54 : 32,014.66 = 8,864.54 : x
  2. Step 2: Convert to fraction form
    21,338.54/32,014.66 = 8,864.54/x
  3. Step 3: Cross multiply
    21,338.54x = 32,014.66 × 8,864.54
  4. Step 4: Simplify right side
    21,338.54x = 283,795,234.16
  5. Step 5: Solve for x
    x = 283,795,234.16/21,338.54
  6. Step 6: Final answer
    x = 13,299.66

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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.