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Finding the Fourth Proportional to 30,805.98, 42,512.34 and 16,658.82

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Solution

The fourth proportional to 30,805.98, 42,512.34 and 16,658.82 is: 22,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.98 : 42,512.34 = 16,658.82 : x
  2. Step 2: Convert to fraction form
    30,805.98/42,512.34 = 16,658.82/x
  3. Step 3: Cross multiply
    30,805.98x = 42,512.34 × 16,658.82
  4. Step 4: Simplify right side
    30,805.98x = 708,205,419.84
  5. Step 5: Solve for x
    x = 708,205,419.84/30,805.98
  6. Step 6: Final answer
    x = 22,989.22

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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.