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Finding the Fourth Proportional to 17,405.91, 24,020.27 and 9,448.17

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Solution

The fourth proportional to 17,405.91, 24,020.27 and 9,448.17 is: 13,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,405.91 : 24,020.27 = 9,448.17 : x
  2. Step 2: Convert to fraction form
    17,405.91/24,020.27 = 9,448.17/x
  3. Step 3: Cross multiply
    17,405.91x = 24,020.27 × 9,448.17
  4. Step 4: Simplify right side
    17,405.91x = 226,947,594.41
  5. Step 5: Solve for x
    x = 226,947,594.41/17,405.91
  6. Step 6: Final answer
    x = 13,038.54

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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.