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Finding the Fourth Proportional to 17,623.50, 26,427.06 and 6,529.74

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Solution

The fourth proportional to 17,623.50, 26,427.06 and 6,529.74 is: 9,791.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,623.50 : 26,427.06 = 6,529.74 : x
  2. Step 2: Convert to fraction form
    17,623.50/26,427.06 = 6,529.74/x
  3. Step 3: Cross multiply
    17,623.50x = 26,427.06 × 6,529.74
  4. Step 4: Simplify right side
    17,623.50x = 172,561,830.76
  5. Step 5: Solve for x
    x = 172,561,830.76/17,623.50
  6. Step 6: Final answer
    x = 9,791.58

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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.