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Finding the Fourth Proportional to 16,421.96, 22,662.33 and 9,348.38

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Solution

The fourth proportional to 16,421.96, 22,662.33 and 9,348.38 is: 12,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.96 : 22,662.33 = 9,348.38 : x
  2. Step 2: Convert to fraction form
    16,421.96/22,662.33 = 9,348.38/x
  3. Step 3: Cross multiply
    16,421.96x = 22,662.33 × 9,348.38
  4. Step 4: Simplify right side
    16,421.96x = 211,855,959.21
  5. Step 5: Solve for x
    x = 211,855,959.21/16,421.96
  6. Step 6: Final answer
    x = 12,900.77

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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.