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Finding the Fourth Proportional to 24,994.34, 37,480.50 and 9,401

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Solution

The fourth proportional to 24,994.34, 37,480.50 and 9,401 is: 14,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,994.34 : 37,480.50 = 9,401 : x
  2. Step 2: Convert to fraction form
    24,994.34/37,480.50 = 9,401/x
  3. Step 3: Cross multiply
    24,994.34x = 37,480.50 × 9,401
  4. Step 4: Simplify right side
    24,994.34x = 352,354,180.50
  5. Step 5: Solve for x
    x = 352,354,180.50/24,994.34
  6. Step 6: Final answer
    x = 14,097.36

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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.