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Finding the Fourth Proportional to 12,784.68, 17,642.50 and 7,119.43

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Solution

The fourth proportional to 12,784.68, 17,642.50 and 7,119.43 is: 9,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.68 : 17,642.50 = 7,119.43 : x
  2. Step 2: Convert to fraction form
    12,784.68/17,642.50 = 7,119.43/x
  3. Step 3: Cross multiply
    12,784.68x = 17,642.50 × 7,119.43
  4. Step 4: Simplify right side
    12,784.68x = 125,604,481.87
  5. Step 5: Solve for x
    x = 125,604,481.87/12,784.68
  6. Step 6: Final answer
    x = 9,824.61

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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.