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Finding the Fourth Proportional to 25,201.05, 34,775.19 and 14,591.40

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Solution

The fourth proportional to 25,201.05, 34,775.19 and 14,591.40 is: 20,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.05 : 34,775.19 = 14,591.40 : x
  2. Step 2: Convert to fraction form
    25,201.05/34,775.19 = 14,591.40/x
  3. Step 3: Cross multiply
    25,201.05x = 34,775.19 × 14,591.40
  4. Step 4: Simplify right side
    25,201.05x = 507,418,707.37
  5. Step 5: Solve for x
    x = 507,418,707.37/25,201.05
  6. Step 6: Final answer
    x = 20,134.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.