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Finding the Fourth Proportional to 16,209.09, 24,313.64 and 8,401.50

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Solution

The fourth proportional to 16,209.09, 24,313.64 and 8,401.50 is: 12,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.09 : 24,313.64 = 8,401.50 : x
  2. Step 2: Convert to fraction form
    16,209.09/24,313.64 = 8,401.50/x
  3. Step 3: Cross multiply
    16,209.09x = 24,313.64 × 8,401.50
  4. Step 4: Simplify right side
    16,209.09x = 204,271,004.45
  5. Step 5: Solve for x
    x = 204,271,004.45/16,209.09
  6. Step 6: Final answer
    x = 12,602.25

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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.