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Finding the Fourth Proportional to 26,406.47, 39,581.85 and 9,755.84

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Solution

The fourth proportional to 26,406.47, 39,581.85 and 9,755.84 is: 14,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406.47 : 39,581.85 = 9,755.84 : x
  2. Step 2: Convert to fraction form
    26,406.47/39,581.85 = 9,755.84/x
  3. Step 3: Cross multiply
    26,406.47x = 39,581.85 × 9,755.84
  4. Step 4: Simplify right side
    26,406.47x = 386,154,195.50
  5. Step 5: Solve for x
    x = 386,154,195.50/26,406.47
  6. Step 6: Final answer
    x = 14,623.47

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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.