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Finding the Fourth Proportional to 17,320.96, 25,923.84 and 13,834.24

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Solution

The fourth proportional to 17,320.96, 25,923.84 and 13,834.24 is: 20,705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320.96 : 25,923.84 = 13,834.24 : x
  2. Step 2: Convert to fraction form
    17,320.96/25,923.84 = 13,834.24/x
  3. Step 3: Cross multiply
    17,320.96x = 25,923.84 × 13,834.24
  4. Step 4: Simplify right side
    17,320.96x = 358,636,624.28
  5. Step 5: Solve for x
    x = 358,636,624.28/17,320.96
  6. Step 6: Final answer
    x = 20,705.35

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