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Finding the Fourth Proportional to 17,377.35, 23,980.89 and 10,205.40

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Solution

The fourth proportional to 17,377.35, 23,980.89 and 10,205.40 is: 14,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,377.35 : 23,980.89 = 10,205.40 : x
  2. Step 2: Convert to fraction form
    17,377.35/23,980.89 = 10,205.40/x
  3. Step 3: Cross multiply
    17,377.35x = 23,980.89 × 10,205.40
  4. Step 4: Simplify right side
    17,377.35x = 244,734,574.81
  5. Step 5: Solve for x
    x = 244,734,574.81/17,377.35
  6. Step 6: Final answer
    x = 14,083.54

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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.