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Finding the Fourth Proportional to 14,918.83, 20,591.12 and 9,464.38

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Solution

The fourth proportional to 14,918.83, 20,591.12 and 9,464.38 is: 13,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,918.83 : 20,591.12 = 9,464.38 : x
  2. Step 2: Convert to fraction form
    14,918.83/20,591.12 = 9,464.38/x
  3. Step 3: Cross multiply
    14,918.83x = 20,591.12 × 9,464.38
  4. Step 4: Simplify right side
    14,918.83x = 194,882,156.49
  5. Step 5: Solve for x
    x = 194,882,156.49/14,918.83
  6. Step 6: Final answer
    x = 13,062.83

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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.