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Finding the Fourth Proportional to 15,196.65, 20,971.38 and 8,482.08

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Solution

The fourth proportional to 15,196.65, 20,971.38 and 8,482.08 is: 11,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.65 : 20,971.38 = 8,482.08 : x
  2. Step 2: Convert to fraction form
    15,196.65/20,971.38 = 8,482.08/x
  3. Step 3: Cross multiply
    15,196.65x = 20,971.38 × 8,482.08
  4. Step 4: Simplify right side
    15,196.65x = 177,880,922.87
  5. Step 5: Solve for x
    x = 177,880,922.87/15,196.65
  6. Step 6: Final answer
    x = 11,705.27

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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.