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Finding the Fourth Proportional to 16,278.84, 22,462.92 and 9,205.38

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Solution

The fourth proportional to 16,278.84, 22,462.92 and 9,205.38 is: 12,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.84 : 22,462.92 = 9,205.38 : x
  2. Step 2: Convert to fraction form
    16,278.84/22,462.92 = 9,205.38/x
  3. Step 3: Cross multiply
    16,278.84x = 22,462.92 × 9,205.38
  4. Step 4: Simplify right side
    16,278.84x = 206,779,714.51
  5. Step 5: Solve for x
    x = 206,779,714.51/16,278.84
  6. Step 6: Final answer
    x = 12,702.36

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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.