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Finding the Fourth Proportional to 29,842.75, 41,184.03 and 16,415.02

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Solution

The fourth proportional to 29,842.75, 41,184.03 and 16,415.02 is: 22,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.75 : 41,184.03 = 16,415.02 : x
  2. Step 2: Convert to fraction form
    29,842.75/41,184.03 = 16,415.02/x
  3. Step 3: Cross multiply
    29,842.75x = 41,184.03 × 16,415.02
  4. Step 4: Simplify right side
    29,842.75x = 676,036,676.13
  5. Step 5: Solve for x
    x = 676,036,676.13/29,842.75
  6. Step 6: Final answer
    x = 22,653.30

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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.