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Finding the Fourth Proportional to 15,530.50, 21,430.74 and 8,816.41

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Solution

The fourth proportional to 15,530.50, 21,430.74 and 8,816.41 is: 12,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.50 : 21,430.74 = 8,816.41 : x
  2. Step 2: Convert to fraction form
    15,530.50/21,430.74 = 8,816.41/x
  3. Step 3: Cross multiply
    15,530.50x = 21,430.74 × 8,816.41
  4. Step 4: Simplify right side
    15,530.50x = 188,942,190.44
  5. Step 5: Solve for x
    x = 188,942,190.44/15,530.50
  6. Step 6: Final answer
    x = 12,165.88

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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.