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Finding the Fourth Proportional to 14,760.84, 20,370 and 8,046.48

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Solution

The fourth proportional to 14,760.84, 20,370 and 8,046.48 is: 11,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,760.84 : 20,370 = 8,046.48 : x
  2. Step 2: Convert to fraction form
    14,760.84/20,370 = 8,046.48/x
  3. Step 3: Cross multiply
    14,760.84x = 20,370 × 8,046.48
  4. Step 4: Simplify right side
    14,760.84x = 163,906,797.60
  5. Step 5: Solve for x
    x = 163,906,797.60/14,760.84
  6. Step 6: Final answer
    x = 11,104.16

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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.