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Finding the Fourth Proportional to 17,407.81, 24,022.64 and 9,449.87

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Solution

The fourth proportional to 17,407.81, 24,022.64 and 9,449.87 is: 13,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.81 : 24,022.64 = 9,449.87 : x
  2. Step 2: Convert to fraction form
    17,407.81/24,022.64 = 9,449.87/x
  3. Step 3: Cross multiply
    17,407.81x = 24,022.64 × 9,449.87
  4. Step 4: Simplify right side
    17,407.81x = 227,010,825.06
  5. Step 5: Solve for x
    x = 227,010,825.06/17,407.81
  6. Step 6: Final answer
    x = 13,040.75

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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.