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Finding the Fourth Proportional to 29,577, 40,819.84 and 16,833.28

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Solution

The fourth proportional to 29,577, 40,819.84 and 16,833.28 is: 23,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,577 : 40,819.84 = 16,833.28 : x
  2. Step 2: Convert to fraction form
    29,577/40,819.84 = 16,833.28/x
  3. Step 3: Cross multiply
    29,577x = 40,819.84 × 16,833.28
  4. Step 4: Simplify right side
    29,577x = 687,131,703.17
  5. Step 5: Solve for x
    x = 687,131,703.17/29,577
  6. Step 6: Final answer
    x = 23,231.96

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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.