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Finding the Fourth Proportional to 13,256.25, 18,274.37 and 9,264.97

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Solution

The fourth proportional to 13,256.25, 18,274.37 and 9,264.97 is: 12,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.25 : 18,274.37 = 9,264.97 : x
  2. Step 2: Convert to fraction form
    13,256.25/18,274.37 = 9,264.97/x
  3. Step 3: Cross multiply
    13,256.25x = 18,274.37 × 9,264.97
  4. Step 4: Simplify right side
    13,256.25x = 169,311,489.82
  5. Step 5: Solve for x
    x = 169,311,489.82/13,256.25
  6. Step 6: Final answer
    x = 12,772.20

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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.