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Finding the Fourth Proportional to 30,827.59, 42,542.22 and 17,399.41

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Solution

The fourth proportional to 30,827.59, 42,542.22 and 17,399.41 is: 24,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827.59 : 42,542.22 = 17,399.41 : x
  2. Step 2: Convert to fraction form
    30,827.59/42,542.22 = 17,399.41/x
  3. Step 3: Cross multiply
    30,827.59x = 42,542.22 × 17,399.41
  4. Step 4: Simplify right side
    30,827.59x = 740,209,528.09
  5. Step 5: Solve for x
    x = 740,209,528.09/30,827.59
  6. Step 6: Final answer
    x = 24,011.27

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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.