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Finding the Fourth Proportional to 17,757.40, 24,506.40 and 10,206.19

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Solution

The fourth proportional to 17,757.40, 24,506.40 and 10,206.19 is: 14,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.40 : 24,506.40 = 10,206.19 : x
  2. Step 2: Convert to fraction form
    17,757.40/24,506.40 = 10,206.19/x
  3. Step 3: Cross multiply
    17,757.40x = 24,506.40 × 10,206.19
  4. Step 4: Simplify right side
    17,757.40x = 250,116,974.62
  5. Step 5: Solve for x
    x = 250,116,974.62/17,757.40
  6. Step 6: Final answer
    x = 14,085.23

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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.