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Finding the Fourth Proportional to 17,832.50, 24,609.64 and 9,874.74

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Solution

The fourth proportional to 17,832.50, 24,609.64 and 9,874.74 is: 13,627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.50 : 24,609.64 = 9,874.74 : x
  2. Step 2: Convert to fraction form
    17,832.50/24,609.64 = 9,874.74/x
  3. Step 3: Cross multiply
    17,832.50x = 24,609.64 × 9,874.74
  4. Step 4: Simplify right side
    17,832.50x = 243,013,796.49
  5. Step 5: Solve for x
    x = 243,013,796.49/17,832.50
  6. Step 6: Final answer
    x = 13,627.58

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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.