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Finding the Fourth Proportional to 16,803.42, 23,189.68 and 9,634.54

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Solution

The fourth proportional to 16,803.42, 23,189.68 and 9,634.54 is: 13,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.42 : 23,189.68 = 9,634.54 : x
  2. Step 2: Convert to fraction form
    16,803.42/23,189.68 = 9,634.54/x
  3. Step 3: Cross multiply
    16,803.42x = 23,189.68 × 9,634.54
  4. Step 4: Simplify right side
    16,803.42x = 223,421,899.55
  5. Step 5: Solve for x
    x = 223,421,899.55/16,803.42
  6. Step 6: Final answer
    x = 13,296.22

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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.