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Finding the Fourth Proportional to 12,712.64, 17,544.60 and 7,679.36

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Solution

The fourth proportional to 12,712.64, 17,544.60 and 7,679.36 is: 10,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.64 : 17,544.60 = 7,679.36 : x
  2. Step 2: Convert to fraction form
    12,712.64/17,544.60 = 7,679.36/x
  3. Step 3: Cross multiply
    12,712.64x = 17,544.60 × 7,679.36
  4. Step 4: Simplify right side
    12,712.64x = 134,731,299.46
  5. Step 5: Solve for x
    x = 134,731,299.46/12,712.64
  6. Step 6: Final answer
    x = 10,598.22

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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.