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Finding the Fourth Proportional to 17,734.69, 24,475.09 and 10,838.82

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Solution

The fourth proportional to 17,734.69, 24,475.09 and 10,838.82 is: 14,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.69 : 24,475.09 = 10,838.82 : x
  2. Step 2: Convert to fraction form
    17,734.69/24,475.09 = 10,838.82/x
  3. Step 3: Cross multiply
    17,734.69x = 24,475.09 × 10,838.82
  4. Step 4: Simplify right side
    17,734.69x = 265,281,112.04
  5. Step 5: Solve for x
    x = 265,281,112.04/17,734.69
  6. Step 6: Final answer
    x = 14,958.32

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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.