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Finding the Fourth Proportional to 30,596.94, 42,223.68 and 17,858.88

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Solution

The fourth proportional to 30,596.94, 42,223.68 and 17,858.88 is: 24,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.94 : 42,223.68 = 17,858.88 : x
  2. Step 2: Convert to fraction form
    30,596.94/42,223.68 = 17,858.88/x
  3. Step 3: Cross multiply
    30,596.94x = 42,223.68 × 17,858.88
  4. Step 4: Simplify right side
    30,596.94x = 754,067,634.28
  5. Step 5: Solve for x
    x = 754,067,634.28/30,596.94
  6. Step 6: Final answer
    x = 24,645.20

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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.