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Finding the Fourth Proportional to 12,496.64, 17,243.70 and 8,026.45

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Solution

The fourth proportional to 12,496.64, 17,243.70 and 8,026.45 is: 11,075.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.64 : 17,243.70 = 8,026.45 : x
  2. Step 2: Convert to fraction form
    12,496.64/17,243.70 = 8,026.45/x
  3. Step 3: Cross multiply
    12,496.64x = 17,243.70 × 8,026.45
  4. Step 4: Simplify right side
    12,496.64x = 138,405,695.87
  5. Step 5: Solve for x
    x = 138,405,695.87/12,496.64
  6. Step 6: Final answer
    x = 11,075.43

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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.