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Finding the Fourth Proportional to 16,506.04, 22,778.51 and 8,952.38

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Solution

The fourth proportional to 16,506.04, 22,778.51 and 8,952.38 is: 12,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.04 : 22,778.51 = 8,952.38 : x
  2. Step 2: Convert to fraction form
    16,506.04/22,778.51 = 8,952.38/x
  3. Step 3: Cross multiply
    16,506.04x = 22,778.51 × 8,952.38
  4. Step 4: Simplify right side
    16,506.04x = 203,921,877.35
  5. Step 5: Solve for x
    x = 203,921,877.35/16,506.04
  6. Step 6: Final answer
    x = 12,354.38

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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.