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Finding the Fourth Proportional to 22,401, 30,913.38 and 12,465

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Solution

The fourth proportional to 22,401, 30,913.38 and 12,465 is: 17,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,401 : 30,913.38 = 12,465 : x
  2. Step 2: Convert to fraction form
    22,401/30,913.38 = 12,465/x
  3. Step 3: Cross multiply
    22,401x = 30,913.38 × 12,465
  4. Step 4: Simplify right side
    22,401x = 385,335,281.70
  5. Step 5: Solve for x
    x = 385,335,281.70/22,401
  6. Step 6: Final answer
    x = 17,201.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.