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Finding the Fourth Proportional to 17,091.66, 25,636.53 and 7,729.38

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Solution

The fourth proportional to 17,091.66, 25,636.53 and 7,729.38 is: 11,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,091.66 : 25,636.53 = 7,729.38 : x
  2. Step 2: Convert to fraction form
    17,091.66/25,636.53 = 7,729.38/x
  3. Step 3: Cross multiply
    17,091.66x = 25,636.53 × 7,729.38
  4. Step 4: Simplify right side
    17,091.66x = 198,154,482.25
  5. Step 5: Solve for x
    x = 198,154,482.25/17,091.66
  6. Step 6: Final answer
    x = 11,593.64

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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.