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Finding the Fourth Proportional to 29,642.36, 40,905.88 and 16,213.57

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Solution

The fourth proportional to 29,642.36, 40,905.88 and 16,213.57 is: 22,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,642.36 : 40,905.88 = 16,213.57 : x
  2. Step 2: Convert to fraction form
    29,642.36/40,905.88 = 16,213.57/x
  3. Step 3: Cross multiply
    29,642.36x = 40,905.88 × 16,213.57
  4. Step 4: Simplify right side
    29,642.36x = 663,230,205.99
  5. Step 5: Solve for x
    x = 663,230,205.99/29,642.36
  6. Step 6: Final answer
    x = 22,374.41

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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.