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Finding the Fourth Proportional to 12,476.64, 17,213.25 and 9,606.24

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Solution

The fourth proportional to 12,476.64, 17,213.25 and 9,606.24 is: 13,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.64 : 17,213.25 = 9,606.24 : x
  2. Step 2: Convert to fraction form
    12,476.64/17,213.25 = 9,606.24/x
  3. Step 3: Cross multiply
    12,476.64x = 17,213.25 × 9,606.24
  4. Step 4: Simplify right side
    12,476.64x = 165,354,610.68
  5. Step 5: Solve for x
    x = 165,354,610.68/12,476.64
  6. Step 6: Final answer
    x = 13,253.14

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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.