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Finding the Fourth Proportional to 17,405.86, 24,014.37 and 9,851.44

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Solution

The fourth proportional to 17,405.86, 24,014.37 and 9,851.44 is: 13,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,405.86 : 24,014.37 = 9,851.44 : x
  2. Step 2: Convert to fraction form
    17,405.86/24,014.37 = 9,851.44/x
  3. Step 3: Cross multiply
    17,405.86x = 24,014.37 × 9,851.44
  4. Step 4: Simplify right side
    17,405.86x = 236,576,125.19
  5. Step 5: Solve for x
    x = 236,576,125.19/17,405.86
  6. Step 6: Final answer
    x = 13,591.75

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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.