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Finding the Fourth Proportional to 16,315.15, 22,514.89 and 9,242.94

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Solution

The fourth proportional to 16,315.15, 22,514.89 and 9,242.94 is: 12,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.15 : 22,514.89 = 9,242.94 : x
  2. Step 2: Convert to fraction form
    16,315.15/22,514.89 = 9,242.94/x
  3. Step 3: Cross multiply
    16,315.15x = 22,514.89 × 9,242.94
  4. Step 4: Simplify right side
    16,315.15x = 208,103,777.38
  5. Step 5: Solve for x
    x = 208,103,777.38/16,315.15
  6. Step 6: Final answer
    x = 12,755.25

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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.