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Finding the Fourth Proportional to 17,206.80, 25,807.12 and 4,556.64

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Solution

The fourth proportional to 17,206.80, 25,807.12 and 4,556.64 is: 6,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.80 : 25,807.12 = 4,556.64 : x
  2. Step 2: Convert to fraction form
    17,206.80/25,807.12 = 4,556.64/x
  3. Step 3: Cross multiply
    17,206.80x = 25,807.12 × 4,556.64
  4. Step 4: Simplify right side
    17,206.80x = 117,593,866.29
  5. Step 5: Solve for x
    x = 117,593,866.29/17,206.80
  6. Step 6: Final answer
    x = 6,834.15

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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.