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Finding the Fourth Proportional to 16,047.45, 24,065.37 and 8,546.39

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Solution

The fourth proportional to 16,047.45, 24,065.37 and 8,546.39 is: 12,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047.45 : 24,065.37 = 8,546.39 : x
  2. Step 2: Convert to fraction form
    16,047.45/24,065.37 = 8,546.39/x
  3. Step 3: Cross multiply
    16,047.45x = 24,065.37 × 8,546.39
  4. Step 4: Simplify right side
    16,047.45x = 205,671,957.78
  5. Step 5: Solve for x
    x = 205,671,957.78/16,047.45
  6. Step 6: Final answer
    x = 12,816.49

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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.