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Finding the Fourth Proportional to 30,959.74, 42,725.28 and 18,213.76

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Solution

The fourth proportional to 30,959.74, 42,725.28 and 18,213.76 is: 25,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.74 : 42,725.28 = 18,213.76 : x
  2. Step 2: Convert to fraction form
    30,959.74/42,725.28 = 18,213.76/x
  3. Step 3: Cross multiply
    30,959.74x = 42,725.28 × 18,213.76
  4. Step 4: Simplify right side
    30,959.74x = 778,187,995.85
  5. Step 5: Solve for x
    x = 778,187,995.85/30,959.74
  6. Step 6: Final answer
    x = 25,135.48

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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.