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Finding the Fourth Proportional to 26,403.12, 39,576.87 and 9,752.49

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Solution

The fourth proportional to 26,403.12, 39,576.87 and 9,752.49 is: 14,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,403.12 : 39,576.87 = 9,752.49 : x
  2. Step 2: Convert to fraction form
    26,403.12/39,576.87 = 9,752.49/x
  3. Step 3: Cross multiply
    26,403.12x = 39,576.87 × 9,752.49
  4. Step 4: Simplify right side
    26,403.12x = 385,973,028.91
  5. Step 5: Solve for x
    x = 385,973,028.91/26,403.12
  6. Step 6: Final answer
    x = 14,618.46

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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.