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Finding the Fourth Proportional to 12,538.41, 17,302.77 and 6,873

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Solution

The fourth proportional to 12,538.41, 17,302.77 and 6,873 is: 9,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.41 : 17,302.77 = 6,873 : x
  2. Step 2: Convert to fraction form
    12,538.41/17,302.77 = 6,873/x
  3. Step 3: Cross multiply
    12,538.41x = 17,302.77 × 6,873
  4. Step 4: Simplify right side
    12,538.41x = 118,921,938.21
  5. Step 5: Solve for x
    x = 118,921,938.21/12,538.41
  6. Step 6: Final answer
    x = 9,484.61

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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.