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Finding the Fourth Proportional to 30,828.96, 42,543.24 and 17,399.84

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Solution

The fourth proportional to 30,828.96, 42,543.24 and 17,399.84 is: 24,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.96 : 42,543.24 = 17,399.84 : x
  2. Step 2: Convert to fraction form
    30,828.96/42,543.24 = 17,399.84/x
  3. Step 3: Cross multiply
    30,828.96x = 42,543.24 × 17,399.84
  4. Step 4: Simplify right side
    30,828.96x = 740,245,569.08
  5. Step 5: Solve for x
    x = 740,245,569.08/30,828.96
  6. Step 6: Final answer
    x = 24,011.37

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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.