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Finding the Fourth Proportional to 29,642.51, 40,906.98 and 16,213.48

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Solution

The fourth proportional to 29,642.51, 40,906.98 and 16,213.48 is: 22,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,642.51 : 40,906.98 = 16,213.48 : x
  2. Step 2: Convert to fraction form
    29,642.51/40,906.98 = 16,213.48/x
  3. Step 3: Cross multiply
    29,642.51x = 40,906.98 × 16,213.48
  4. Step 4: Simplify right side
    29,642.51x = 663,244,297.56
  5. Step 5: Solve for x
    x = 663,244,297.56/29,642.51
  6. Step 6: Final answer
    x = 22,374.77

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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.