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Finding the Fourth Proportional to 17,541.50, 24,207.84 and 10,089.50

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Solution

The fourth proportional to 17,541.50, 24,207.84 and 10,089.50 is: 13,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,541.50 : 24,207.84 = 10,089.50 : x
  2. Step 2: Convert to fraction form
    17,541.50/24,207.84 = 10,089.50/x
  3. Step 3: Cross multiply
    17,541.50x = 24,207.84 × 10,089.50
  4. Step 4: Simplify right side
    17,541.50x = 244,245,001.68
  5. Step 5: Solve for x
    x = 244,245,001.68/17,541.50
  6. Step 6: Final answer
    x = 13,923.84

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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.