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Finding the Fourth Proportional to 30,828.87, 42,543.09 and 17,400.69

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Solution

The fourth proportional to 30,828.87, 42,543.09 and 17,400.69 is: 24,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.87 : 42,543.09 = 17,400.69 : x
  2. Step 2: Convert to fraction form
    30,828.87/42,543.09 = 17,400.69/x
  3. Step 3: Cross multiply
    30,828.87x = 42,543.09 × 17,400.69
  4. Step 4: Simplify right side
    30,828.87x = 740,279,120.73
  5. Step 5: Solve for x
    x = 740,279,120.73/30,828.87
  6. Step 6: Final answer
    x = 24,012.53

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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.