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Finding the Fourth Proportional to 16,572.09, 24,824.57 and 7,674.87

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Solution

The fourth proportional to 16,572.09, 24,824.57 and 7,674.87 is: 11,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,572.09 : 24,824.57 = 7,674.87 : x
  2. Step 2: Convert to fraction form
    16,572.09/24,824.57 = 7,674.87/x
  3. Step 3: Cross multiply
    16,572.09x = 24,824.57 × 7,674.87
  4. Step 4: Simplify right side
    16,572.09x = 190,525,309.18
  5. Step 5: Solve for x
    x = 190,525,309.18/16,572.09
  6. Step 6: Final answer
    x = 11,496.76

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Why These Related Problems?

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