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Finding the Fourth Proportional to 12,814.07, 17,683.01 and 7,512.41

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Solution

The fourth proportional to 12,814.07, 17,683.01 and 7,512.41 is: 10,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.07 : 17,683.01 = 7,512.41 : x
  2. Step 2: Convert to fraction form
    12,814.07/17,683.01 = 7,512.41/x
  3. Step 3: Cross multiply
    12,814.07x = 17,683.01 × 7,512.41
  4. Step 4: Simplify right side
    12,814.07x = 132,842,055.97
  5. Step 5: Solve for x
    x = 132,842,055.97/12,814.07
  6. Step 6: Final answer
    x = 10,366.89

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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.