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Finding the Fourth Proportional to 12,829.76, 17,705.23 and 7,452.30

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Solution

The fourth proportional to 12,829.76, 17,705.23 and 7,452.30 is: 10,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.76 : 17,705.23 = 7,452.30 : x
  2. Step 2: Convert to fraction form
    12,829.76/17,705.23 = 7,452.30/x
  3. Step 3: Cross multiply
    12,829.76x = 17,705.23 × 7,452.30
  4. Step 4: Simplify right side
    12,829.76x = 131,944,733.29
  5. Step 5: Solve for x
    x = 131,944,733.29/12,829.76
  6. Step 6: Final answer
    x = 10,284.27

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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.