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Finding the Fourth Proportional to 12,784.09, 17,642.06 and 7,479.94

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Solution

The fourth proportional to 12,784.09, 17,642.06 and 7,479.94 is: 10,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.09 : 17,642.06 = 7,479.94 : x
  2. Step 2: Convert to fraction form
    12,784.09/17,642.06 = 7,479.94/x
  3. Step 3: Cross multiply
    12,784.09x = 17,642.06 × 7,479.94
  4. Step 4: Simplify right side
    12,784.09x = 131,961,550.28
  5. Step 5: Solve for x
    x = 131,961,550.28/12,784.09
  6. Step 6: Final answer
    x = 10,322.33

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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.