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Finding the Fourth Proportional to 16,841.68, 23,241.76 and 9,770.24

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Solution

The fourth proportional to 16,841.68, 23,241.76 and 9,770.24 is: 13,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,841.68 : 23,241.76 = 9,770.24 : x
  2. Step 2: Convert to fraction form
    16,841.68/23,241.76 = 9,770.24/x
  3. Step 3: Cross multiply
    16,841.68x = 23,241.76 × 9,770.24
  4. Step 4: Simplify right side
    16,841.68x = 227,077,573.22
  5. Step 5: Solve for x
    x = 227,077,573.22/16,841.68
  6. Step 6: Final answer
    x = 13,483.07

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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.