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Finding the Fourth Proportional to 29,458.16, 40,651.74 and 16,028.96

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Solution

The fourth proportional to 29,458.16, 40,651.74 and 16,028.96 is: 22,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,458.16 : 40,651.74 = 16,028.96 : x
  2. Step 2: Convert to fraction form
    29,458.16/40,651.74 = 16,028.96/x
  3. Step 3: Cross multiply
    29,458.16x = 40,651.74 × 16,028.96
  4. Step 4: Simplify right side
    29,458.16x = 651,605,114.39
  5. Step 5: Solve for x
    x = 651,605,114.39/29,458.16
  6. Step 6: Final answer
    x = 22,119.68

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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.