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Finding the Fourth Proportional to 29,864.64, 41,211.65 and 16,433.30

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Solution

The fourth proportional to 29,864.64, 41,211.65 and 16,433.30 is: 22,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,864.64 : 41,211.65 = 16,433.30 : x
  2. Step 2: Convert to fraction form
    29,864.64/41,211.65 = 16,433.30/x
  3. Step 3: Cross multiply
    29,864.64x = 41,211.65 × 16,433.30
  4. Step 4: Simplify right side
    29,864.64x = 677,243,119.72
  5. Step 5: Solve for x
    x = 677,243,119.72/29,864.64
  6. Step 6: Final answer
    x = 22,677.09

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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.