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Finding the Fourth Proportional to 15,523.57, 21,421.89 and 8,450

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Solution

The fourth proportional to 15,523.57, 21,421.89 and 8,450 is: 11,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,523.57 : 21,421.89 = 8,450 : x
  2. Step 2: Convert to fraction form
    15,523.57/21,421.89 = 8,450/x
  3. Step 3: Cross multiply
    15,523.57x = 21,421.89 × 8,450
  4. Step 4: Simplify right side
    15,523.57x = 181,014,970.50
  5. Step 5: Solve for x
    x = 181,014,970.50/15,523.57
  6. Step 6: Final answer
    x = 11,660.65

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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.