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Finding the Fourth Proportional to 17,615.48, 24,309.26 and 9,657.77

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Solution

The fourth proportional to 17,615.48, 24,309.26 and 9,657.77 is: 13,327.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,615.48 : 24,309.26 = 9,657.77 : x
  2. Step 2: Convert to fraction form
    17,615.48/24,309.26 = 9,657.77/x
  3. Step 3: Cross multiply
    17,615.48x = 24,309.26 × 9,657.77
  4. Step 4: Simplify right side
    17,615.48x = 234,773,241.95
  5. Step 5: Solve for x
    x = 234,773,241.95/17,615.48
  6. Step 6: Final answer
    x = 13,327.67

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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.