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Finding the Fourth Proportional to 17,026.32, 25,546.83 and 6,499.50

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Solution

The fourth proportional to 17,026.32, 25,546.83 and 6,499.50 is: 9,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,026.32 : 25,546.83 = 6,499.50 : x
  2. Step 2: Convert to fraction form
    17,026.32/25,546.83 = 6,499.50/x
  3. Step 3: Cross multiply
    17,026.32x = 25,546.83 × 6,499.50
  4. Step 4: Simplify right side
    17,026.32x = 166,041,645.11
  5. Step 5: Solve for x
    x = 166,041,645.11/17,026.32
  6. Step 6: Final answer
    x = 9,752.06

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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.