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Finding the Fourth Proportional to 14,797.54, 20,421.11 and 8,083.68

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Solution

The fourth proportional to 14,797.54, 20,421.11 and 8,083.68 is: 11,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.54 : 20,421.11 = 8,083.68 : x
  2. Step 2: Convert to fraction form
    14,797.54/20,421.11 = 8,083.68/x
  3. Step 3: Cross multiply
    14,797.54x = 20,421.11 × 8,083.68
  4. Step 4: Simplify right side
    14,797.54x = 165,077,616.38
  5. Step 5: Solve for x
    x = 165,077,616.38/14,797.54
  6. Step 6: Final answer
    x = 11,155.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.