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Finding the Fourth Proportional to 14,874.21, 22,297.14 and 5,008.41

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Solution

The fourth proportional to 14,874.21, 22,297.14 and 5,008.41 is: 7,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.21 : 22,297.14 = 5,008.41 : x
  2. Step 2: Convert to fraction form
    14,874.21/22,297.14 = 5,008.41/x
  3. Step 3: Cross multiply
    14,874.21x = 22,297.14 × 5,008.41
  4. Step 4: Simplify right side
    14,874.21x = 111,673,218.95
  5. Step 5: Solve for x
    x = 111,673,218.95/14,874.21
  6. Step 6: Final answer
    x = 7,507.84

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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.