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Finding the Fourth Proportional to 14,421.80, 19,902.84 and 8,455.39

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Solution

The fourth proportional to 14,421.80, 19,902.84 and 8,455.39 is: 11,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.80 : 19,902.84 = 8,455.39 : x
  2. Step 2: Convert to fraction form
    14,421.80/19,902.84 = 8,455.39/x
  3. Step 3: Cross multiply
    14,421.80x = 19,902.84 × 8,455.39
  4. Step 4: Simplify right side
    14,421.80x = 168,286,274.31
  5. Step 5: Solve for x
    x = 168,286,274.31/14,421.80
  6. Step 6: Final answer
    x = 11,668.88

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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.