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Finding the Fourth Proportional to 29,674.18, 40,950.99 and 16,246

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Solution

The fourth proportional to 29,674.18, 40,950.99 and 16,246 is: 22,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,674.18 : 40,950.99 = 16,246 : x
  2. Step 2: Convert to fraction form
    29,674.18/40,950.99 = 16,246/x
  3. Step 3: Cross multiply
    29,674.18x = 40,950.99 × 16,246
  4. Step 4: Simplify right side
    29,674.18x = 665,289,783.54
  5. Step 5: Solve for x
    x = 665,289,783.54/29,674.18
  6. Step 6: Final answer
    x = 22,419.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.