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Finding the Fourth Proportional to 17,406.34, 24,020.73 and 9,448.56

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Solution

The fourth proportional to 17,406.34, 24,020.73 and 9,448.56 is: 13,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.34 : 24,020.73 = 9,448.56 : x
  2. Step 2: Convert to fraction form
    17,406.34/24,020.73 = 9,448.56/x
  3. Step 3: Cross multiply
    17,406.34x = 24,020.73 × 9,448.56
  4. Step 4: Simplify right side
    17,406.34x = 226,961,366.52
  5. Step 5: Solve for x
    x = 226,961,366.52/17,406.34
  6. Step 6: Final answer
    x = 13,039.01

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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.