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Finding the Fourth Proportional to 14,402.23, 21,590.17 and 12,195.27

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Solution

The fourth proportional to 14,402.23, 21,590.17 and 12,195.27 is: 18,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.23 : 21,590.17 = 12,195.27 : x
  2. Step 2: Convert to fraction form
    14,402.23/21,590.17 = 12,195.27/x
  3. Step 3: Cross multiply
    14,402.23x = 21,590.17 × 12,195.27
  4. Step 4: Simplify right side
    14,402.23x = 263,297,952.50
  5. Step 5: Solve for x
    x = 263,297,952.50/14,402.23
  6. Step 6: Final answer
    x = 18,281.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.