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Finding the Fourth Proportional to 12,431.64, 17,159.28 and 7,399.41

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Solution

The fourth proportional to 12,431.64, 17,159.28 and 7,399.41 is: 10,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.64 : 17,159.28 = 7,399.41 : x
  2. Step 2: Convert to fraction form
    12,431.64/17,159.28 = 7,399.41/x
  3. Step 3: Cross multiply
    12,431.64x = 17,159.28 × 7,399.41
  4. Step 4: Simplify right side
    12,431.64x = 126,968,548.02
  5. Step 5: Solve for x
    x = 126,968,548.02/12,431.64
  6. Step 6: Final answer
    x = 10,213.34

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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.