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Finding the Fourth Proportional to 17,713.86, 26,536.68 and 9,928.14

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Solution

The fourth proportional to 17,713.86, 26,536.68 and 9,928.14 is: 14,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.86 : 26,536.68 = 9,928.14 : x
  2. Step 2: Convert to fraction form
    17,713.86/26,536.68 = 9,928.14/x
  3. Step 3: Cross multiply
    17,713.86x = 26,536.68 × 9,928.14
  4. Step 4: Simplify right side
    17,713.86x = 263,459,874.18
  5. Step 5: Solve for x
    x = 263,459,874.18/17,713.86
  6. Step 6: Final answer
    x = 14,873.09

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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.