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Finding the Fourth Proportional to 12,785.41, 17,647.13 and 7,406.75

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Solution

The fourth proportional to 12,785.41, 17,647.13 and 7,406.75 is: 10,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.41 : 17,647.13 = 7,406.75 : x
  2. Step 2: Convert to fraction form
    12,785.41/17,647.13 = 7,406.75/x
  3. Step 3: Cross multiply
    12,785.41x = 17,647.13 × 7,406.75
  4. Step 4: Simplify right side
    12,785.41x = 130,707,880.13
  5. Step 5: Solve for x
    x = 130,707,880.13/12,785.41
  6. Step 6: Final answer
    x = 10,223.21

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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.