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Finding the Fourth Proportional to 12,946.68, 17,872.43 and 9,761.26

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Solution

The fourth proportional to 12,946.68, 17,872.43 and 9,761.26 is: 13,475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.68 : 17,872.43 = 9,761.26 : x
  2. Step 2: Convert to fraction form
    12,946.68/17,872.43 = 9,761.26/x
  3. Step 3: Cross multiply
    12,946.68x = 17,872.43 × 9,761.26
  4. Step 4: Simplify right side
    12,946.68x = 174,457,436.06
  5. Step 5: Solve for x
    x = 174,457,436.06/12,946.68
  6. Step 6: Final answer
    x = 13,475.07

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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.