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Finding the Fourth Proportional to 26,384, 39,579.78 and 9,741.20

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Solution

The fourth proportional to 26,384, 39,579.78 and 9,741.20 is: 14,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384 : 39,579.78 = 9,741.20 : x
  2. Step 2: Convert to fraction form
    26,384/39,579.78 = 9,741.20/x
  3. Step 3: Cross multiply
    26,384x = 39,579.78 × 9,741.20
  4. Step 4: Simplify right side
    26,384x = 385,554,552.94
  5. Step 5: Solve for x
    x = 385,554,552.94/26,384
  6. Step 6: Final answer
    x = 14,613.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.