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Finding the Fourth Proportional to 17,832.16, 24,608.75 and 9,766.15

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Solution

The fourth proportional to 17,832.16, 24,608.75 and 9,766.15 is: 13,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.16 : 24,608.75 = 9,766.15 : x
  2. Step 2: Convert to fraction form
    17,832.16/24,608.75 = 9,766.15/x
  3. Step 3: Cross multiply
    17,832.16x = 24,608.75 × 9,766.15
  4. Step 4: Simplify right side
    17,832.16x = 240,332,743.81
  5. Step 5: Solve for x
    x = 240,332,743.81/17,832.16
  6. Step 6: Final answer
    x = 13,477.49

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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.