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Finding the Fourth Proportional to 17,406.81, 24,021.26 and 9,448.87

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Solution

The fourth proportional to 17,406.81, 24,021.26 and 9,448.87 is: 13,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.81 : 24,021.26 = 9,448.87 : x
  2. Step 2: Convert to fraction form
    17,406.81/24,021.26 = 9,448.87/x
  3. Step 3: Cross multiply
    17,406.81x = 24,021.26 × 9,448.87
  4. Step 4: Simplify right side
    17,406.81x = 226,973,762.98
  5. Step 5: Solve for x
    x = 226,973,762.98/17,406.81
  6. Step 6: Final answer
    x = 13,039.37

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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.