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Finding the Fourth Proportional to 29,849.40, 41,193.36 and 16,421.76

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Solution

The fourth proportional to 29,849.40, 41,193.36 and 16,421.76 is: 22,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,849.40 : 41,193.36 = 16,421.76 : x
  2. Step 2: Convert to fraction form
    29,849.40/41,193.36 = 16,421.76/x
  3. Step 3: Cross multiply
    29,849.40x = 41,193.36 × 16,421.76
  4. Step 4: Simplify right side
    29,849.40x = 676,467,471.51
  5. Step 5: Solve for x
    x = 676,467,471.51/29,849.40
  6. Step 6: Final answer
    x = 22,662.68

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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.