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Finding the Fourth Proportional to 12,807.09, 17,668.71 and 7,769.48

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Solution

The fourth proportional to 12,807.09, 17,668.71 and 7,769.48 is: 10,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.09 : 17,668.71 = 7,769.48 : x
  2. Step 2: Convert to fraction form
    12,807.09/17,668.71 = 7,769.48/x
  3. Step 3: Cross multiply
    12,807.09x = 17,668.71 × 7,769.48
  4. Step 4: Simplify right side
    12,807.09x = 137,276,600.63
  5. Step 5: Solve for x
    x = 137,276,600.63/12,807.09
  6. Step 6: Final answer
    x = 10,718.80

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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.