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Finding the Fourth Proportional to 14,469.54, 19,966.82 and 8,418.84

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Solution

The fourth proportional to 14,469.54, 19,966.82 and 8,418.84 is: 11,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.54 : 19,966.82 = 8,418.84 : x
  2. Step 2: Convert to fraction form
    14,469.54/19,966.82 = 8,418.84/x
  3. Step 3: Cross multiply
    14,469.54x = 19,966.82 × 8,418.84
  4. Step 4: Simplify right side
    14,469.54x = 168,097,462.89
  5. Step 5: Solve for x
    x = 168,097,462.89/14,469.54
  6. Step 6: Final answer
    x = 11,617.33

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1.5x scale

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.