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Finding the Fourth Proportional to 12,256.80, 16,914.33 and 6,952.38

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Solution

The fourth proportional to 12,256.80, 16,914.33 and 6,952.38 is: 9,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.80 : 16,914.33 = 6,952.38 : x
  2. Step 2: Convert to fraction form
    12,256.80/16,914.33 = 6,952.38/x
  3. Step 3: Cross multiply
    12,256.80x = 16,914.33 × 6,952.38
  4. Step 4: Simplify right side
    12,256.80x = 117,594,849.61
  5. Step 5: Solve for x
    x = 117,594,849.61/12,256.80
  6. Step 6: Final answer
    x = 9,594.25

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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.