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Finding the Fourth Proportional to 12,729.33, 17,567.37 and 7,064.64

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Solution

The fourth proportional to 12,729.33, 17,567.37 and 7,064.64 is: 9,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.33 : 17,567.37 = 7,064.64 : x
  2. Step 2: Convert to fraction form
    12,729.33/17,567.37 = 7,064.64/x
  3. Step 3: Cross multiply
    12,729.33x = 17,567.37 × 7,064.64
  4. Step 4: Simplify right side
    12,729.33x = 124,107,144.80
  5. Step 5: Solve for x
    x = 124,107,144.80/12,729.33
  6. Step 6: Final answer
    x = 9,749.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.