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Finding the Fourth Proportional to 17,816.96, 26,736 and 9,926.08

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Solution

The fourth proportional to 17,816.96, 26,736 and 9,926.08 is: 14,895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,816.96 : 26,736 = 9,926.08 : x
  2. Step 2: Convert to fraction form
    17,816.96/26,736 = 9,926.08/x
  3. Step 3: Cross multiply
    17,816.96x = 26,736 × 9,926.08
  4. Step 4: Simplify right side
    17,816.96x = 265,383,674.88
  5. Step 5: Solve for x
    x = 265,383,674.88/17,816.96
  6. Step 6: Final answer
    x = 14,895.00

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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.