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Finding the Fourth Proportional to 17,403.66, 24,016.79 and 9,851.42

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Solution

The fourth proportional to 17,403.66, 24,016.79 and 9,851.42 is: 13,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,403.66 : 24,016.79 = 9,851.42 : x
  2. Step 2: Convert to fraction form
    17,403.66/24,016.79 = 9,851.42/x
  3. Step 3: Cross multiply
    17,403.66x = 24,016.79 × 9,851.42
  4. Step 4: Simplify right side
    17,403.66x = 236,599,316.00
  5. Step 5: Solve for x
    x = 236,599,316.00/17,403.66
  6. Step 6: Final answer
    x = 13,594.81

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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.