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Finding the Fourth Proportional to 17,454.80, 24,084.36 and 10,382.96

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Solution

The fourth proportional to 17,454.80, 24,084.36 and 10,382.96 is: 14,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454.80 : 24,084.36 = 10,382.96 : x
  2. Step 2: Convert to fraction form
    17,454.80/24,084.36 = 10,382.96/x
  3. Step 3: Cross multiply
    17,454.80x = 24,084.36 × 10,382.96
  4. Step 4: Simplify right side
    17,454.80x = 250,066,946.51
  5. Step 5: Solve for x
    x = 250,066,946.51/17,454.80
  6. Step 6: Final answer
    x = 14,326.54

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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.