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Finding the Fourth Proportional to 12,401, 18,596.64 and 5,004.08

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Solution

The fourth proportional to 12,401, 18,596.64 and 5,004.08 is: 7,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401 : 18,596.64 = 5,004.08 : x
  2. Step 2: Convert to fraction form
    12,401/18,596.64 = 5,004.08/x
  3. Step 3: Cross multiply
    12,401x = 18,596.64 × 5,004.08
  4. Step 4: Simplify right side
    12,401x = 93,059,074.29
  5. Step 5: Solve for x
    x = 93,059,074.29/12,401
  6. Step 6: Final answer
    x = 7,504.16

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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.