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Finding the Fourth Proportional to 14,830.38, 20,464.14 and 8,860.89

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Solution

The fourth proportional to 14,830.38, 20,464.14 and 8,860.89 is: 12,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.38 : 20,464.14 = 8,860.89 : x
  2. Step 2: Convert to fraction form
    14,830.38/20,464.14 = 8,860.89/x
  3. Step 3: Cross multiply
    14,830.38x = 20,464.14 × 8,860.89
  4. Step 4: Simplify right side
    14,830.38x = 181,330,383.52
  5. Step 5: Solve for x
    x = 181,330,383.52/14,830.38
  6. Step 6: Final answer
    x = 12,226.95

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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.