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Finding the Fourth Proportional to 27,259.74, 40,865.31 and 9,725.67

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Solution

The fourth proportional to 27,259.74, 40,865.31 and 9,725.67 is: 14,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,259.74 : 40,865.31 = 9,725.67 : x
  2. Step 2: Convert to fraction form
    27,259.74/40,865.31 = 9,725.67/x
  3. Step 3: Cross multiply
    27,259.74x = 40,865.31 × 9,725.67
  4. Step 4: Simplify right side
    27,259.74x = 397,442,519.51
  5. Step 5: Solve for x
    x = 397,442,519.51/27,259.74
  6. Step 6: Final answer
    x = 14,579.84

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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.