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Finding the Fourth Proportional to 11,698.65, 17,528.54 and 8,228.61

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Solution

The fourth proportional to 11,698.65, 17,528.54 and 8,228.61 is: 12,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.65 : 17,528.54 = 8,228.61 : x
  2. Step 2: Convert to fraction form
    11,698.65/17,528.54 = 8,228.61/x
  3. Step 3: Cross multiply
    11,698.65x = 17,528.54 × 8,228.61
  4. Step 4: Simplify right side
    11,698.65x = 144,235,478.39
  5. Step 5: Solve for x
    x = 144,235,478.39/11,698.65
  6. Step 6: Final answer
    x = 12,329.24

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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.