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Finding the Fourth Proportional to 30,841.86, 42,563.68 and 17,408.22

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Solution

The fourth proportional to 30,841.86, 42,563.68 and 17,408.22 is: 24,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.86 : 42,563.68 = 17,408.22 : x
  2. Step 2: Convert to fraction form
    30,841.86/42,563.68 = 17,408.22/x
  3. Step 3: Cross multiply
    30,841.86x = 42,563.68 × 17,408.22
  4. Step 4: Simplify right side
    30,841.86x = 740,957,905.45
  5. Step 5: Solve for x
    x = 740,957,905.45/30,841.86
  6. Step 6: Final answer
    x = 24,024.42

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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.