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Finding the Fourth Proportional to 25,607.60, 38,431.26 and 17,765.15

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Solution

The fourth proportional to 25,607.60, 38,431.26 and 17,765.15 is: 26,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,607.60 : 38,431.26 = 17,765.15 : x
  2. Step 2: Convert to fraction form
    25,607.60/38,431.26 = 17,765.15/x
  3. Step 3: Cross multiply
    25,607.60x = 38,431.26 × 17,765.15
  4. Step 4: Simplify right side
    25,607.60x = 682,736,906.43
  5. Step 5: Solve for x
    x = 682,736,906.43/25,607.60
  6. Step 6: Final answer
    x = 26,661.50

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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.