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Finding the Fourth Proportional to 26,416.50, 39,596.82 and 9,765.84

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Solution

The fourth proportional to 26,416.50, 39,596.82 and 9,765.84 is: 14,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416.50 : 39,596.82 = 9,765.84 : x
  2. Step 2: Convert to fraction form
    26,416.50/39,596.82 = 9,765.84/x
  3. Step 3: Cross multiply
    26,416.50x = 39,596.82 × 9,765.84
  4. Step 4: Simplify right side
    26,416.50x = 386,696,208.63
  5. Step 5: Solve for x
    x = 386,696,208.63/26,416.50
  6. Step 6: Final answer
    x = 14,638.43

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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.