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Finding the Fourth Proportional to 29,707.64, 40,997.04 and 16,278

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Solution

The fourth proportional to 29,707.64, 40,997.04 and 16,278 is: 22,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,707.64 : 40,997.04 = 16,278 : x
  2. Step 2: Convert to fraction form
    29,707.64/40,997.04 = 16,278/x
  3. Step 3: Cross multiply
    29,707.64x = 40,997.04 × 16,278
  4. Step 4: Simplify right side
    29,707.64x = 667,349,817.12
  5. Step 5: Solve for x
    x = 667,349,817.12/29,707.64
  6. Step 6: Final answer
    x = 22,463.91

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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.