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Finding the Fourth Proportional to 29,711.24, 40,992.72 and 16,964

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Solution

The fourth proportional to 29,711.24, 40,992.72 and 16,964 is: 23,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.24 : 40,992.72 = 16,964 : x
  2. Step 2: Convert to fraction form
    29,711.24/40,992.72 = 16,964/x
  3. Step 3: Cross multiply
    29,711.24x = 40,992.72 × 16,964
  4. Step 4: Simplify right side
    29,711.24x = 695,400,502.08
  5. Step 5: Solve for x
    x = 695,400,502.08/29,711.24
  6. Step 6: Final answer
    x = 23,405.30

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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.