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Finding the Fourth Proportional to 17,007.58, 25,474.38 and 8,224

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Solution

The fourth proportional to 17,007.58, 25,474.38 and 8,224 is: 12,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,007.58 : 25,474.38 = 8,224 : x
  2. Step 2: Convert to fraction form
    17,007.58/25,474.38 = 8,224/x
  3. Step 3: Cross multiply
    17,007.58x = 25,474.38 × 8,224
  4. Step 4: Simplify right side
    17,007.58x = 209,501,301.12
  5. Step 5: Solve for x
    x = 209,501,301.12/17,007.58
  6. Step 6: Final answer
    x = 12,318.11

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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.