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Finding the Fourth Proportional to 25,655.76, 38,453.76 and 10,859.76

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Solution

The fourth proportional to 25,655.76, 38,453.76 and 10,859.76 is: 16,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,655.76 : 38,453.76 = 10,859.76 : x
  2. Step 2: Convert to fraction form
    25,655.76/38,453.76 = 10,859.76/x
  3. Step 3: Cross multiply
    25,655.76x = 38,453.76 × 10,859.76
  4. Step 4: Simplify right side
    25,655.76x = 417,598,604.70
  5. Step 5: Solve for x
    x = 417,598,604.70/25,655.76
  6. Step 6: Final answer
    x = 16,276.99

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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.