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Finding the Fourth Proportional to 17,635.90, 26,433 and 7,754.51

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Solution

The fourth proportional to 17,635.90, 26,433 and 7,754.51 is: 11,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.90 : 26,433 = 7,754.51 : x
  2. Step 2: Convert to fraction form
    17,635.90/26,433 = 7,754.51/x
  3. Step 3: Cross multiply
    17,635.90x = 26,433 × 7,754.51
  4. Step 4: Simplify right side
    17,635.90x = 204,974,962.83
  5. Step 5: Solve for x
    x = 204,974,962.83/17,635.90
  6. Step 6: Final answer
    x = 11,622.60

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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.