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Finding the Fourth Proportional to 17,832.29, 24,608.47 and 9,874.50

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Solution

The fourth proportional to 17,832.29, 24,608.47 and 9,874.50 is: 13,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.29 : 24,608.47 = 9,874.50 : x
  2. Step 2: Convert to fraction form
    17,832.29/24,608.47 = 9,874.50/x
  3. Step 3: Cross multiply
    17,832.29x = 24,608.47 × 9,874.50
  4. Step 4: Simplify right side
    17,832.29x = 242,996,337.02
  5. Step 5: Solve for x
    x = 242,996,337.02/17,832.29
  6. Step 6: Final answer
    x = 13,626.76

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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.