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Finding the Fourth Proportional to 25,761.70, 38,645.16 and 8,892.51

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Solution

The fourth proportional to 25,761.70, 38,645.16 and 8,892.51 is: 13,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,761.70 : 38,645.16 = 8,892.51 : x
  2. Step 2: Convert to fraction form
    25,761.70/38,645.16 = 8,892.51/x
  3. Step 3: Cross multiply
    25,761.70x = 38,645.16 × 8,892.51
  4. Step 4: Simplify right side
    25,761.70x = 343,652,471.75
  5. Step 5: Solve for x
    x = 343,652,471.75/25,761.70
  6. Step 6: Final answer
    x = 13,339.67

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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.