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Finding the Fourth Proportional to 14,940.84, 22,397.88 and 6,170.16

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Solution

The fourth proportional to 14,940.84, 22,397.88 and 6,170.16 is: 9,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,940.84 : 22,397.88 = 6,170.16 : x
  2. Step 2: Convert to fraction form
    14,940.84/22,397.88 = 6,170.16/x
  3. Step 3: Cross multiply
    14,940.84x = 22,397.88 × 6,170.16
  4. Step 4: Simplify right side
    14,940.84x = 138,198,503.26
  5. Step 5: Solve for x
    x = 138,198,503.26/14,940.84
  6. Step 6: Final answer
    x = 9,249.71

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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.