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Finding the Fourth Proportional to 17,689.41, 24,409.62 and 10,033.02

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Solution

The fourth proportional to 17,689.41, 24,409.62 and 10,033.02 is: 13,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.41 : 24,409.62 = 10,033.02 : x
  2. Step 2: Convert to fraction form
    17,689.41/24,409.62 = 10,033.02/x
  3. Step 3: Cross multiply
    17,689.41x = 24,409.62 × 10,033.02
  4. Step 4: Simplify right side
    17,689.41x = 244,902,205.65
  5. Step 5: Solve for x
    x = 244,902,205.65/17,689.41
  6. Step 6: Final answer
    x = 13,844.57

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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.