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Finding the Fourth Proportional to 22,904.24, 31,608.16 and 12,832.49

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Solution

The fourth proportional to 22,904.24, 31,608.16 and 12,832.49 is: 17,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,904.24 : 31,608.16 = 12,832.49 : x
  2. Step 2: Convert to fraction form
    22,904.24/31,608.16 = 12,832.49/x
  3. Step 3: Cross multiply
    22,904.24x = 31,608.16 × 12,832.49
  4. Step 4: Simplify right side
    22,904.24x = 405,611,444.06
  5. Step 5: Solve for x
    x = 405,611,444.06/22,904.24
  6. Step 6: Final answer
    x = 17,709.02

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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.