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Finding the Fourth Proportional to 12,673.86, 17,489.94 and 7,084.86

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Solution

The fourth proportional to 12,673.86, 17,489.94 and 7,084.86 is: 9,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673.86 : 17,489.94 = 7,084.86 : x
  2. Step 2: Convert to fraction form
    12,673.86/17,489.94 = 7,084.86/x
  3. Step 3: Cross multiply
    12,673.86x = 17,489.94 × 7,084.86
  4. Step 4: Simplify right side
    12,673.86x = 123,913,776.31
  5. Step 5: Solve for x
    x = 123,913,776.31/12,673.86
  6. Step 6: Final answer
    x = 9,777.11

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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.