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Finding the Fourth Proportional to 12,662.54, 17,478 and 7,359.47

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Solution

The fourth proportional to 12,662.54, 17,478 and 7,359.47 is: 10,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.54 : 17,478 = 7,359.47 : x
  2. Step 2: Convert to fraction form
    12,662.54/17,478 = 7,359.47/x
  3. Step 3: Cross multiply
    12,662.54x = 17,478 × 7,359.47
  4. Step 4: Simplify right side
    12,662.54x = 128,628,729.27
  5. Step 5: Solve for x
    x = 128,628,729.27/12,662.54
  6. Step 6: Final answer
    x = 10,158.21

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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.