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Finding the Fourth Proportional to 17,748.84, 26,609.22 and 8,859.60

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Solution

The fourth proportional to 17,748.84, 26,609.22 and 8,859.60 is: 13,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748.84 : 26,609.22 = 8,859.60 : x
  2. Step 2: Convert to fraction form
    17,748.84/26,609.22 = 8,859.60/x
  3. Step 3: Cross multiply
    17,748.84x = 26,609.22 × 8,859.60
  4. Step 4: Simplify right side
    17,748.84x = 235,747,045.51
  5. Step 5: Solve for x
    x = 235,747,045.51/17,748.84
  6. Step 6: Final answer
    x = 13,282.39

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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.