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Finding the Fourth Proportional to 29,709.95, 41,000.87 and 16,965.21

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Solution

The fourth proportional to 29,709.95, 41,000.87 and 16,965.21 is: 23,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.95 : 41,000.87 = 16,965.21 : x
  2. Step 2: Convert to fraction form
    29,709.95/41,000.87 = 16,965.21/x
  3. Step 3: Cross multiply
    29,709.95x = 41,000.87 × 16,965.21
  4. Step 4: Simplify right side
    29,709.95x = 695,588,284.91
  5. Step 5: Solve for x
    x = 695,588,284.91/29,709.95
  6. Step 6: Final answer
    x = 23,412.64

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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.