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Finding the Fourth Proportional to 39,207, 58,820.49 and 11,505

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Solution

The fourth proportional to 39,207, 58,820.49 and 11,505 is: 17,260.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,207 : 58,820.49 = 11,505 : x
  2. Step 2: Convert to fraction form
    39,207/58,820.49 = 11,505/x
  3. Step 3: Cross multiply
    39,207x = 58,820.49 × 11,505
  4. Step 4: Simplify right side
    39,207x = 676,729,737.45
  5. Step 5: Solve for x
    x = 676,729,737.45/39,207
  6. Step 6: Final answer
    x = 17,260.43

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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.