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Finding the Fourth Proportional to 17,282.34, 25,924.68 and 6,894

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Solution

The fourth proportional to 17,282.34, 25,924.68 and 6,894 is: 10,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.34 : 25,924.68 = 6,894 : x
  2. Step 2: Convert to fraction form
    17,282.34/25,924.68 = 6,894/x
  3. Step 3: Cross multiply
    17,282.34x = 25,924.68 × 6,894
  4. Step 4: Simplify right side
    17,282.34x = 178,724,743.92
  5. Step 5: Solve for x
    x = 178,724,743.92/17,282.34
  6. Step 6: Final answer
    x = 10,341.47

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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.