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Finding the Fourth Proportional to 12,554.96, 17,326.38 and 6,967.04

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Solution

The fourth proportional to 12,554.96, 17,326.38 and 6,967.04 is: 9,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,554.96 : 17,326.38 = 6,967.04 : x
  2. Step 2: Convert to fraction form
    12,554.96/17,326.38 = 6,967.04/x
  3. Step 3: Cross multiply
    12,554.96x = 17,326.38 × 6,967.04
  4. Step 4: Simplify right side
    12,554.96x = 120,713,582.52
  5. Step 5: Solve for x
    x = 120,713,582.52/12,554.96
  6. Step 6: Final answer
    x = 9,614.81

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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.