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Finding the Fourth Proportional to 38,594, 57,896.28 and 13,628.24

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Solution

The fourth proportional to 38,594, 57,896.28 and 13,628.24 is: 20,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,594 : 57,896.28 = 13,628.24 : x
  2. Step 2: Convert to fraction form
    38,594/57,896.28 = 13,628.24/x
  3. Step 3: Cross multiply
    38,594x = 57,896.28 × 13,628.24
  4. Step 4: Simplify right side
    38,594x = 789,024,398.95
  5. Step 5: Solve for x
    x = 789,024,398.95/38,594
  6. Step 6: Final answer
    x = 20,444.22

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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.