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Finding the Fourth Proportional to 29,859.72, 41,206.74 and 16,432.20

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Solution

The fourth proportional to 29,859.72, 41,206.74 and 16,432.20 is: 22,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,859.72 : 41,206.74 = 16,432.20 : x
  2. Step 2: Convert to fraction form
    29,859.72/41,206.74 = 16,432.20/x
  3. Step 3: Cross multiply
    29,859.72x = 41,206.74 × 16,432.20
  4. Step 4: Simplify right side
    29,859.72x = 677,117,393.03
  5. Step 5: Solve for x
    x = 677,117,393.03/29,859.72
  6. Step 6: Final answer
    x = 22,676.62

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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.