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Finding the Fourth Proportional to 30,822.54, 42,535.62 and 17,394.09

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Solution

The fourth proportional to 30,822.54, 42,535.62 and 17,394.09 is: 24,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.54 : 42,535.62 = 17,394.09 : x
  2. Step 2: Convert to fraction form
    30,822.54/42,535.62 = 17,394.09/x
  3. Step 3: Cross multiply
    30,822.54x = 42,535.62 × 17,394.09
  4. Step 4: Simplify right side
    30,822.54x = 739,868,402.49
  5. Step 5: Solve for x
    x = 739,868,402.49/30,822.54
  6. Step 6: Final answer
    x = 24,004.13

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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.