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Finding the Fourth Proportional to 14,433.28, 19,922.08 and 8,465.20

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Solution

The fourth proportional to 14,433.28, 19,922.08 and 8,465.20 is: 11,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.28 : 19,922.08 = 8,465.20 : x
  2. Step 2: Convert to fraction form
    14,433.28/19,922.08 = 8,465.20/x
  3. Step 3: Cross multiply
    14,433.28x = 19,922.08 × 8,465.20
  4. Step 4: Simplify right side
    14,433.28x = 168,644,391.62
  5. Step 5: Solve for x
    x = 168,644,391.62/14,433.28
  6. Step 6: Final answer
    x = 11,684.41

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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.