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Finding the Fourth Proportional to 13,965.10, 19,264.20 and 8,851.24

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Solution

The fourth proportional to 13,965.10, 19,264.20 and 8,851.24 is: 12,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.10 : 19,264.20 = 8,851.24 : x
  2. Step 2: Convert to fraction form
    13,965.10/19,264.20 = 8,851.24/x
  3. Step 3: Cross multiply
    13,965.10x = 19,264.20 × 8,851.24
  4. Step 4: Simplify right side
    13,965.10x = 170,512,057.61
  5. Step 5: Solve for x
    x = 170,512,057.61/13,965.10
  6. Step 6: Final answer
    x = 12,209.87

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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.