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Finding the Fourth Proportional to 19,206.80, 27,772.10 and 19,206.80

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Solution

The fourth proportional to 19,206.80, 27,772.10 and 19,206.80 is: 27,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206.80 : 27,772.10 = 19,206.80 : x
  2. Step 2: Convert to fraction form
    19,206.80/27,772.10 = 19,206.80/x
  3. Step 3: Cross multiply
    19,206.80x = 27,772.10 × 19,206.80
  4. Step 4: Simplify right side
    19,206.80x = 533,413,170.28
  5. Step 5: Solve for x
    x = 533,413,170.28/19,206.80
  6. Step 6: Final answer
    x = 27,772.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.