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Finding the Fourth Proportional to 12,829.22, 17,704.14 and 7,164.06

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Solution

The fourth proportional to 12,829.22, 17,704.14 and 7,164.06 is: 9,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.22 : 17,704.14 = 7,164.06 : x
  2. Step 2: Convert to fraction form
    12,829.22/17,704.14 = 7,164.06/x
  3. Step 3: Cross multiply
    12,829.22x = 17,704.14 × 7,164.06
  4. Step 4: Simplify right side
    12,829.22x = 126,833,521.21
  5. Step 5: Solve for x
    x = 126,833,521.21/12,829.22
  6. Step 6: Final answer
    x = 9,886.30

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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.