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Finding the Fourth Proportional to 17,627.85, 24,327.97 and 9,671.63

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Solution

The fourth proportional to 17,627.85, 24,327.97 and 9,671.63 is: 13,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.85 : 24,327.97 = 9,671.63 : x
  2. Step 2: Convert to fraction form
    17,627.85/24,327.97 = 9,671.63/x
  3. Step 3: Cross multiply
    17,627.85x = 24,327.97 × 9,671.63
  4. Step 4: Simplify right side
    17,627.85x = 235,290,978.67
  5. Step 5: Solve for x
    x = 235,290,978.67/17,627.85
  6. Step 6: Final answer
    x = 13,347.68

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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.