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Finding the Fourth Proportional to 17,926.92, 26,869.32 and 8,054.64

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Solution

The fourth proportional to 17,926.92, 26,869.32 and 8,054.64 is: 12,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,926.92 : 26,869.32 = 8,054.64 : x
  2. Step 2: Convert to fraction form
    17,926.92/26,869.32 = 8,054.64/x
  3. Step 3: Cross multiply
    17,926.92x = 26,869.32 × 8,054.64
  4. Step 4: Simplify right side
    17,926.92x = 216,422,699.64
  5. Step 5: Solve for x
    x = 216,422,699.64/17,926.92
  6. Step 6: Final answer
    x = 12,072.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.