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Finding the Fourth Proportional to 25,911.88, 38,867.81 and 7,443.88

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Solution

The fourth proportional to 25,911.88, 38,867.81 and 7,443.88 is: 11,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,911.88 : 38,867.81 = 7,443.88 : x
  2. Step 2: Convert to fraction form
    25,911.88/38,867.81 = 7,443.88/x
  3. Step 3: Cross multiply
    25,911.88x = 38,867.81 × 7,443.88
  4. Step 4: Simplify right side
    25,911.88x = 289,327,313.50
  5. Step 5: Solve for x
    x = 289,327,313.50/25,911.88
  6. Step 6: Final answer
    x = 11,165.82

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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.