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Finding the Fourth Proportional to 12,729.67, 17,566.69 and 7,064.38

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Solution

The fourth proportional to 12,729.67, 17,566.69 and 7,064.38 is: 9,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.67 : 17,566.69 = 7,064.38 : x
  2. Step 2: Convert to fraction form
    12,729.67/17,566.69 = 7,064.38/x
  3. Step 3: Cross multiply
    12,729.67x = 17,566.69 × 7,064.38
  4. Step 4: Simplify right side
    12,729.67x = 124,097,791.05
  5. Step 5: Solve for x
    x = 124,097,791.05/12,729.67
  6. Step 6: Final answer
    x = 9,748.70

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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.