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Finding the Fourth Proportional to 17,215.18, 25,824.39 and 6,824.50

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Solution

The fourth proportional to 17,215.18, 25,824.39 and 6,824.50 is: 10,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,215.18 : 25,824.39 = 6,824.50 : x
  2. Step 2: Convert to fraction form
    17,215.18/25,824.39 = 6,824.50/x
  3. Step 3: Cross multiply
    17,215.18x = 25,824.39 × 6,824.50
  4. Step 4: Simplify right side
    17,215.18x = 176,238,549.56
  5. Step 5: Solve for x
    x = 176,238,549.56/17,215.18
  6. Step 6: Final answer
    x = 10,237.39

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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.