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Finding the Fourth Proportional to 14,564.80, 21,836.04 and 6,767.92

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Solution

The fourth proportional to 14,564.80, 21,836.04 and 6,767.92 is: 10,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.80 : 21,836.04 = 6,767.92 : x
  2. Step 2: Convert to fraction form
    14,564.80/21,836.04 = 6,767.92/x
  3. Step 3: Cross multiply
    14,564.80x = 21,836.04 × 6,767.92
  4. Step 4: Simplify right side
    14,564.80x = 147,784,571.84
  5. Step 5: Solve for x
    x = 147,784,571.84/14,564.80
  6. Step 6: Final answer
    x = 10,146.69

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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.