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Finding the Fourth Proportional to 20,197.16, 27,862.51 and 14,232.11

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Solution

The fourth proportional to 20,197.16, 27,862.51 and 14,232.11 is: 19,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.16 : 27,862.51 = 14,232.11 : x
  2. Step 2: Convert to fraction form
    20,197.16/27,862.51 = 14,232.11/x
  3. Step 3: Cross multiply
    20,197.16x = 27,862.51 × 14,232.11
  4. Step 4: Simplify right side
    20,197.16x = 396,542,307.20
  5. Step 5: Solve for x
    x = 396,542,307.20/20,197.16
  6. Step 6: Final answer
    x = 19,633.57

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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.