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Finding the Fourth Proportional to 12,401.52, 18,569.16 and 10,433.22

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Solution

The fourth proportional to 12,401.52, 18,569.16 and 10,433.22 is: 15,621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.52 : 18,569.16 = 10,433.22 : x
  2. Step 2: Convert to fraction form
    12,401.52/18,569.16 = 10,433.22/x
  3. Step 3: Cross multiply
    12,401.52x = 18,569.16 × 10,433.22
  4. Step 4: Simplify right side
    12,401.52x = 193,736,131.50
  5. Step 5: Solve for x
    x = 193,736,131.50/12,401.52
  6. Step 6: Final answer
    x = 15,621.97

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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.