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Finding the Fourth Proportional to 29,032.56, 40,065.84 and 16,459.20

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Solution

The fourth proportional to 29,032.56, 40,065.84 and 16,459.20 is: 22,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,032.56 : 40,065.84 = 16,459.20 : x
  2. Step 2: Convert to fraction form
    29,032.56/40,065.84 = 16,459.20/x
  3. Step 3: Cross multiply
    29,032.56x = 40,065.84 × 16,459.20
  4. Step 4: Simplify right side
    29,032.56x = 659,451,673.73
  5. Step 5: Solve for x
    x = 659,451,673.73/29,032.56
  6. Step 6: Final answer
    x = 22,714.21

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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.